Question

Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x2 + 3x - 5 = 0
Apex

Answer 1

The solutions of x are 1 and $-\frac{5}{2}$

Step-by-step explanation:

Given,quadratic equation is

$2x^2+3x-5=0$

$\Leftrightarrow x = \frac{-3\pm\sqrt{3^2+4.2.(-5)} }{2.2}$                       [ $x=\frac{-b\pm \sqrt{b^2 -4ac} }{2a}$  here a =2, b= 3 and c= -5]

$\Leftrightarrow x = \frac{-3\pm\sqrt{49} }{2.2}$

$\Leftrightarrow x = \frac{-3\pm7}{4}$

Either x =1  or, $x = -\frac{5}{2}$