Question

Solve...........................

Answer 1

Answer:

Right option is B. x = -3 ± 2√5

Step-by-step explanation:

Given equation,

x² + 6x - 11 = 0

Using quadratic formula,

$x = \frac{-b ± \sqrt{b^{2} -4ac}}{2a}$

Comparing from general quadratic equation: ax² + bx + c = 0

Here, a= 1 b = 6 and c = -11

so,

$x = \frac{-6 ± \sqrt{6^{2} -4·1·(-11)}}{2·1}$

$x = \frac{-6 ± \sqrt{36 +44}}{2}$

$x = \frac{-6 ± \sqrt{80}}{2}$

x = -3 ± 2√5

Hence right option is B. x = -3 ± 2√5