#mathhacks — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathhacks, aggregated by home.social.
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Alright, future engineers!
**Discriminant:** The `b^2 - 4ac` part of the quadratic formula, revealing the nature of its roots.
Ex: For `ax^2+bx+c=0`, `D = b^2 - 4ac`.
Pro-Tip: If D < 0, there are NO real solutions! Crucial for quick problem checks.
#Algebra #MathHacks #STEM #StudyNotes -
Alright, future engineers!
**Logarithm:** The exponent to which a base must be raised to get a certain number.
Ex: `log_2(8) = 3` because `2^3 = 8`.
Pro-Tip: It's the *inverse* of exponentiation! Use properties like `log(A) + log(B) = log(AB)` to simplify equations.
#Algebra #MathHacks #STEM #StudyNotes -
Alright, future engineers!
**Quadratic Formula:** Finds roots (x-intercepts) for any `ax^2 + bx + c = 0`.
Ex: `x = [-b +- sqrt(b^2 - 4ac)] / 2a`
Pro-Tip: The `b^2-4ac` (discriminant) tells you if roots are real/complex, & how many!
#AlgebraTips #MathHacks #STEM #StudyNotes -
Alright, future engineers!
**Logarithm:** The exponent needed to reach a number from a base. It's exponentiation in reverse!
Ex: `log_2(8) = 3` because `2^3 = 8`.
Pro-Tip: `log(x^p) = p*log(x)` pulls exponents out, simplifying complex expressions!
#Algebra #MathHacks #STEM #StudyNotes -
SAT Geometry Hack you NEED to know!
Question: A rectangle has an area of 63 square meters and a length of 9 meters. What is the width?
Comment “7” if you got it right!
This simple trick helps you solve rectangle problems fast on the SAT. Save this for your test prep!
#SAT #SATMath #Geometry #SATPrep #MathHacks #TestPrep #SATHacks #Rectangle #Algebra #ExamPrep #StudyTips #CollegeBoard #Education #ViralMath #LearnMath #SAT2026 #studytok #harvard
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Alright, future engineers!
**Quadratic Formula:** Finds `x` in any `ax^2 + bx + c = 0` (your trusty solution finder!)
Ex: `x = [-b ± sqrt(b^2 - 4ac)] / 2a`
Pro-Tip: The 'discriminant' (`b^2 - 4ac`) quickly reveals 0, 1, or 2 real solutions.
#Algebra #MathHacks #STEM #StudyNotes -
SAT Geometry Question: Rectangle Area Problem - Find the Width?
A rectangle has an area of 63 square meters and a length of 9 meters. What is the width?
Most students overcomplicate this, but it’s actually very simple once you use the formula 👀
Comment if you got it right!
Want more quick SAT Math hacks? Comment “1600” 👇
#SAT #satmathprep #SATprep #geometry #mathhacks #testprep #SATquestions #harvard👍
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SAT Geometry Question:
A rectangle has an area of 63 square meters and a length of 9 meters. What is the width?
Most students overcomplicate this, but it’s actually very simple once you use the formula 👀
Want more quick SAT Math hacks? Comment “1600” 👇
#SAT #SATMath #SATPrep #Geometry #MathHacks #TestPrep #SATquestions
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Alright, future engineers!
The **Quadratic Formula** solves for 'x' in any `ax^2+bx+c=0`.
Formula: `x = (-b ± sqrt(b^2 - 4ac)) / 2a`
Pro-Tip: It's your universal tool – always works, even when factoring fails!
#Algebra #MathHacks #STEM #StudyNotes -
Logarithms (log_b(x)=y) are the inverse of exponentiation, asking b to what power gives x? Ex: log_2(8)=3 because 2^3=8. Pro-Tip: Convert to exponential form (b^y=x) to simplify complex problems!
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FTC Part 2 connects definite integrals to antiderivatives. Formula: ∫[a,b] f(x)dx = F(b) - F(a) (where F'(x)=f(x)). Pro-Tip: It makes calculating the exact 'area under a curve' super efficient – just find the antiderivative & plug in!
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Fast Area of a Parallelogram!
For area, just multiply the base × height. But here's the trick:
Area = a × b × sin(θ) where θ is the angle between them! Try for a = 5, b = 6, θ = 60°!
#MathHacks #GeometryMagic -
Rectangle Diagonal Trick!
Find the diagonal using:
d = √(L² + B²). But try this shortcut:
d = √(P²/16 - A). Try for A=24, P=20!
#MathHacks -
Heron's Formula Magic!
Find the area of a triangle using sides a, b, c:
Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2. Try for a=5, b=6, c=7!
#MathHacks #LikeAndShare -
Fast Area of a Parallelogram!
For area, just multiply the base × height. But here's the trick:
Area = a × b × sin(θ) where θ is the angle between them! Try for a = 5, b = 6, θ = 60°!
#MathHacks #GeometryMagic -
Rectangle Diagonal Trick!
Find the diagonal using:
d = √(L² + B²). But try this shortcut:
d = √(P²/16 - A). Try for A=24, P=20!
#MathHacks -
Heron's Formula Magic!
Find the area of a triangle using sides a, b, c:
Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2. Try for a=5, b=6, c=7!
#MathHacks #LikeAndShare -
The Super Easy Way to Remember Tan & Cot!
Forget formulas! Just use this simple pattern:🔥 Tan = sin / cos
🔥 Cot = cos / sin👉 Example:
✔ tan 45° = sin 45° / cos 45° = 1
✔ cot 45° = cos 45° / sin 45° = 1🔥 Try finding tan 60° using this trick and COMMENT your answer! ⬇️
#MathHacks -
The 90° Rule to Instantly Find Trig Values!
Did you know?✔ sin(90° - x) = cos(x)
✔ cos(90° - x) = sin(x)
✔ tan(90° - x) = cot(x)🔥 So if sin 20° = 0.342, then cos 70° = 0.342 too! 🤯
🔥 Try finding sin 65° using this trick and COMMENT your answer! ⬇️
#MathHacks #TrigonometryTips -
The Ultimate Trick to Remember All Trig Identities!
Struggling with sin²θ + cos²θ = 1? Use this trick:🔥 "Some People Have Curly Brown Hair Through Proper Brushing"
✔ Sin²θ + Cos²θ = 1
✔ 1 + Tan²θ = Sec²θ
✔ 1 + Cot²θ = Cosec²θ🔥 Try finding tan²30° + 1 and COMMENT your answer!⬇️
#MathHacks -
The Super Easy Way to Remember Tan & Cot!
Forget formulas! Just use this simple pattern:🔥 Tan = sin / cos
🔥 Cot = cos / sin👉 Example:
✔ tan 45° = sin 45° / cos 45° = 1
✔ cot 45° = cos 45° / sin 45° = 1🔥 Try finding tan 60° using this trick and COMMENT your answer! ⬇️
#MathHacks -
The Ultimate Trick to Remember All Trig Identities!
Struggling with sin²θ + cos²θ = 1? Use this trick:🔥 "Some People Have Curly Brown Hair Through Proper Brushing"
✔ Sin²θ + Cos²θ = 1
✔ 1 + Tan²θ = Sec²θ
✔ 1 + Cot²θ = Cosec²θ🔥 Try finding tan²30° + 1 and COMMENT your answer!⬇️
#MathHacks -
The 90° Rule to Instantly Find Trig Values!
Did you know?✔ sin(90° - x) = cos(x)
✔ cos(90° - x) = sin(x)
✔ tan(90° - x) = cot(x)🔥 So if sin 20° = 0.342, then cos 70° = 0.342 too! 🤯
🔥 Try finding sin 65° using this trick and COMMENT your answer! ⬇️
#MathHacks #TrigonometryTips -
Approximate value = Lower root + (Number - Lower Square) / (2 × Lower root)
✔ For √78:
8 + (78 - 64) / (2 × 8) = 8 + 14 / 16 = 8 + 0.875 = 8.88✅ Actual value: 8.83 (Super close!)
🔥 Try √115 and COMMENT your answer! ⬇️
#MathHacks #MindBlown #LikeAndShare
2/2 -
Approximate value = Lower root + (Number - Lower Square) / (2 × Lower root)
✔ For √78:
8 + (78 - 64) / (2 × 8) = 8 + 14 / 16 = 8 + 0.875 = 8.88✅ Actual value: 8.83 (Super close!)
🔥 Try √115 and COMMENT your answer! ⬇️
#MathHacks #MindBlown #LikeAndShare
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