Solve the equation by the quadratic formula 4x2 x 30 x Type

Solve the equation by the quadratic formula. 4x^2 +x -3=0 x= (Type an exact answer, using radicals as needed. Express comp

Solution

given 4x² + x - 3 =0

we know solution of quadratic equation ax² + bx + c=0 is

x = [ -b +/- sqrt(b²-4ac]/2a

now a=4,b=1,c=-3

and x = [-1+/- sqrt(1-4*4*(-3)) ] /2*4

= [- 1+/- 7 ]/8

x = -1, x=3/4