Question

Find the root of the quadratic equations 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 = (-(-3sqrt(5)) +- sqrt((-3sqrt(5))^2 - 4(1)(10)))/(2(1))`

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

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