Solve the equation using the quadratic formula

2x^2=8x+3

The solution sets are

(-0.35, 4.35) to the nearest hundredth.

Step-by-step explanation:

2x^2=8x+3

2x^2 - 8x - 3 = 0

The formula for the solution of ax^2 + bx + c = 0 is:

x = [-b + / - sqrt (b^2 - 4ac) ] / 2a.

Here x = [ - (-8) + / - sqrt ((-8) ^2 - 4*2*-3) ] / 4

= (8 + / - sqrt (88)) / 4

= 2 + / - sqrt88/4

= - 0.35, 4.35.