Question

10x² + 3x – 4 = 0

Answer 1

Given: 10x² + 3x – 4 = 0

On splitting the middle term 3x as 8x – 5x, we get:

10x² + 8x – 5x – 4 = 0

$\Rightarrow$2x(5x + 4) – 1(5x + 4) = 0

$\Rightarrow$(5x + 4) (2x – 1) = 0

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

Thus,

5x + 4 = 0 or 2x – 1 = 0

$\Rightarrow$x = – $\frac{4}{5}$ or x = $\frac{1}{2}$
Therefore, the solution of the given equation is x = $-\frac{4}{5}$, $\frac{1}{2}$.