Question

Find the root of the quadratic equations by using the quadratic formula in the following:

5x² + 13x + 8 = 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 = (-13 +-  sqrt((-13)^2 - 4(5)(8)))/(2(5))`

= `(-13 +- sqrt(9))/10`

= `(-13 +- 3)/10`

= `-1, - 8/5`