Question

Tentukan akar akar persamaan kuadrat berikut dengan acara memfaktorkan!

a.x² + 2x - 15 = 0
b.x² -5x-24 = 0

Answer 1

A. (x + 5)(x - 3)
b. (x + 3)(x - 8)

Answer 2

       x² + 2x - 15 = 0
 x² - 3x + 5x - 15 = 0
x(x - 3) + 5(x - 3) = 0
     (x + 5) (x - 3) = 0

x + 5 = 0
    x₁ = -5

x - 3 = 0
    x₂ = 3


          x² - 5x - 24 = 0
  x² + 3x - 8x - 24 = 0
x(x + 3) - 8(x + 3) = 0
      (x - 8) (x + 3) = 0

x - 8 = 0
   x₁ = 8

x + 3 = 0
    x₂ = -3