Question

Solve each of the following equations by factorization: 

x(x – 5) = 24 

 

Answer 1

x(x – 5) = 24
`⟹ x^2 – 5x – 24 = 0`
`⟹ x^2 – 8x + 3x – 24 = 0`
`⟹ x (x – 8) + 3 (x – 8) = 0`
`⟹(x – 8) (x + 3) = 0`
`"Since"  x – 8 = 0  "Or"  x + 3 = 0`
`"Then"  x = 8  "Or"  x = – 3`