Question

x² + 10x + 24 = 0

Answer 1

Given: x² + 10x + 24 = 0

On splitting the middle term 10x as 6x + 4x, we get:

x² + 6x + 4x + 24 = 0

$\Rightarrow$x(x + 6) + 4(x + 6) = 0

$\Rightarrow$(x + 6) (x + 4) = 0

We know that if the product of two numbers is zero, then at least one of them must be zero.

Thus,

x + 6 = 0 or x + 4 = 0

$\Rightarrow$x = – 6 or x = – 4

Therefore, the solution of the given equation is x = – 6, – 4.