Question

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

`x^2 - 3sqrt(5)x + 10 = 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 = `(-(-3sqrt(5)) +- sqrt((-3sqrt(5))^2 - 4(1)(10)))/(2(1))`

= `(3sqrt(5) +- sqrt(5))/2`

= `2sqrt(5), sqrt(5)`