#algebrahacks — Public Fediverse posts
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Alright, future engineers!
**Quadratic Equation:** A polynomial equation of degree 2 (ax^2+bx+c=0).
Formula: x = [-b ± sqrt(b^2-4ac)] / 2a
Pro-Tip: The discriminant (b^2-4ac) tells you if roots are real, complex, or repeated!
#AlgebraHacks #QuadraticEquations #STEM #StudyNotes -
Alright, future engineers!
**Factoring a Quadratic:** Breaking `ax²+bx+c` into simpler linear factors. Ex: `x²+5x+6 = (x+2)(x+3)`. Pro-Tip: Find two numbers that multiply to 'c' and add to 'b'!
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Alright, future engineers!
**Logarithms** are the *inverse* of exponentiation. `log_b(x) = y` means `b^y = x`. Ex: `log_10(100) = 2` (`10^2 = 100`). Pro-Tip: They turn multiplication into addition, simplifying complex calculations (e.g., pH, decibels)!
#AlgebraHacks #Logarithms #STEM #StudyNotes -
Factoring breaks down an expression into simpler parts (factors) that multiply to it. Ex: x^2+5x+6=(x+2)(x+3). Pro-Tip: Always check for a Greatest Common Factor (GCF) first – it simplifies everything!
#AlgebraHacks #MathSkills #STEM #StudyNotes