Question

3x² – 10x + 8 = 0

Answer 1

Given: 3x² – 10x + 8 = 0

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

3x² – 6x – 4x + 8 = 0

$\Rightarrow$3x(x – 2) – 4(x – 2) = 0

$\Rightarrow$(x – 2) (3x – 4)= 0

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

Thus,

x – 2 = 0 or 3x – 4 = 0
$\Rightarrow$ x = 2 or x = $\frac{4}{3}$
Therefore, the solution of the given equation is x = 2, $\frac{4}{3}$.