Question

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

Answer 1

You have to make sure you follow this step by step

Answer 2

Explanation:

Step 1: Subtract 4x from both sides

`2x^2 - 4x = 4x - 4x - 7`

`2x^2 - 4x = -7`

Step 2: Add 7 to both sides

`2x^2 - 4x + 7 = -7 + 7`

`2x^2 - 4x + 7 = 0`

Step 3: Use the Quadratic Formula

`x = ( -b \pm √(b^2 -4ac) )/(2a)`

`x = ( -(-4) \pm √((-4)^2 - 4(2)(7)) )/( 2(2 ))`

`x = ( 4 \pm √(-40) )/(4)`

`x = (4 \pm2i √(10) )/(4)`

`x = (2 \pm i√(10))/(2)`

Answer:
`x = (2 \pm i√(10))/(2)`