Question

Solve the following equation by the quadratic formula. 4x2 - 2x = 7​

Answer 1

`x=(\pm√(29) +1)/(4)`

Explanation:

Quadratic Formula:
`x=(-b \pm√(b^2-4ac) )/(2a)`

Step 1: Write quadratic equation

4x² - 2x = 7

Step 2: Solve for x

1. Move everything to one side: 4x² - 2x - 7 = 0
2. Define variables: a = 4, b = -2, c = -7
3. Plug into quadratic formula:
   `x=(-(-2) \pm√((-2)^2-4(4)(-7)) )/(2(4))`
4. Evaluate for x:
   `x=(\pm√(29) +1)/(4)`