Question

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

2x² – 3x – 5 = 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 = `(-(-3) +- sqrt(3^2 - 4(2)(-5)))/(2(2))`

= `(3 +- sqrt(49))/4`

= `(3 +- 7)/4`

= `5/2, -1`