Question

Solve the equation 4x^2+4x-2=7 to the nearest tenth

Answer 1

x=−1/2+1/2√10 or -1/2+-1/2√10

Explanation:

4x2+4x−2=7

Step 1: Subtract 7 from both sides.

4x2+4x−2−7=7−7

4x2+4x−9=0

For this equation: a=4, b=4, c=-9

4x2+4x+−9=0

Step 2: Use quadratic formula with a=4, b=4, c=-9.

x=

−b±√b2−4ac

2a

x=

−(4)±√(4)2−4(4)(−9)

2(4)

x=

−4±√160

8

x=

−1/2

+

1/2