Question

Which of the following is a solution of 4x2 = − 9x − 4?

Answer 1

Step-by-step explanation:

4x2=−9x−4

Step 1: Subtract -9x-4 from both sides.

4x2−(−9x−4)=−9x−4−(−9x−4)

4x2+9x+4=0

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

4x2+9x+4=0

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

x=

−b±√b2−4ac

2a

x=

−(9)±√(9)2−4(4)(4)

2(4)

x=

−9±√17

8

x=

−9

8

+

1

8

√17 or x=

−9

8

+

−1

8

√17