Question

Find the roots of the quadratic equation by using the quadratic formula in the following:

`x^2 + 2sqrt(2)x - 6 = 0`

Answer 1

The quadratic formula for finding the roots of quadratic equation

ax² + bx + c = 0, a ≠ 0 is given by,

x = `(-b +- sqrt(b^2 - 4ac))/(2a)`

∴ x = `(-2sqrt(2) +- sqrt((2sqrt(2))^2 - 4(1)(-6)))/(2(1))`

= `(-2sqrt(2) +- sqrt(32))/2`

= `(-2sqrt(2) +- 4sqrt(2))/2`

= `sqrt(2), -3sqrt(2)`