Mathematics
Grade10
Easy

Question

Determine the solutions of the quadratic equation
straight x squared plus 7 straight x minus 8 equals 0 by factorization.

  1. straight x equals 1 comma space straight x equals negative 8
  2. straight x equals 2 comma space straight x equals 6
  3. straight x equals 2 comma space straight x equals 5
  4. straight x equals 3 comma space straight x equals 4

The correct answer is: straight x equals 1 comma space straight x equals negative 8


    x² +7x - 8 =0
    x² +8x - x - 8 =0
    x(x+8) - 1(x+8) =0
    (x+8)(x-1) =0
    Equating both the factors with 0, we get
    x+8 = 0
    x = -8
    And,
    x-1 = 0
    x =1

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