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USING THE FORMULA WHEN a IS NOT 1

Mathematics · Class 10

Keep a in 2a. For 2x² + 3x - 2 = 0, D = 9 + 16 = 25. x = -3 +/- 54. That gives x=12 or x=-2. Factoring (2x-1)(x+2) should match.

do not drop a
simplify +/-
x = 12 or x = -2
2a not 2
USING THE FORMULA WHEN a IS NOT 1: Keep a in 2a. For 2x^2 + 3x - 2 = 0, D = 9 + 16 = 25. x = -3 +/- 54. That gives x=12 or x=-2. Fa
DISCRIMINANT: D = b^2 - 4ac. The 4ac includes a. For 2x^2+3x-2, ac is negative, so -4ac is positive and D is large
TWO ROOTS: x = -3+54 = 24 = 12 and x = -3-54 = -84 = -2. Check in the original: 2(14)+3(12)-2=12+3/
WHAT — USING THE FORMULA WHEN a IS NOT 1: Keep a in 2a. For 2x^2 + 3x - 2 = 0, D = 9 + 16 = 25. x = -3 +/- 54. That gives x=12 or x=-2. Fa

Right triangle — USING THE FORMULA WHEN a IS NOT 1 — original sketch for this lesson (not copied from a textbook).