Question

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

–x² + 7x – 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 = `(-7 +- sqrt((-7)^2 - 4(-1)(-10)))/(2(-1))`

= `(-7 +- sqrt(9))/(-2)`

= `(7 +- 3)/2`

= 5, 2