Question

3x² + 34x + 11 = 0

Answer 1

Given: 3x² + 34x + 11 = 0

On splitting the middle term 34x as x + 33x, we get:

3x² + x + 33x + 11 = 0

$\Rightarrow$x(3x + 1) + 11(3x + 1) = 0

$\Rightarrow$(3x + 1) (x + 11) = 0

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

Thus,

3x + 1 = 0 or x + 11 = 0

$\Rightarrow$x = – $\frac{1}{3}$ or x = –11
Therefore, the solution of the given equation is x = –11, – $\frac{1}{3}$.