Question

Use the Quadratic Formula to solve the equation 4x2+1=8x.

Answer 1

x= 1+ 1/2
`\sqrt{3)\\`

Explanation:

Let's solve your equation step-by-step.

4x2+1=8x

Step 1: Subtract 8x from both sides.

4x2+1−8x=8x−8x

4x2−8x+1=0

Step 2: Use quadratic formula with a=4, b=-8, c=1.

x=

−b±√b2−4ac

2a

x=

−(−8)±√(−8)2−4(4)(1)

2(4)

x=

8±√48

8

x=1+

1

2

√3 or x=1+

−1

2

√3