Question

I need help with this question can you explain it step by step so I can know how to do the math

Answer 1

Explanation:

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

The quadratic formula is x = (-b±
`√(b^2 - 4ac)`)/2a when
`ax^2+bx+c=0`.

Use direct substitution.

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

simplify

x = (4±
`√(16+112)`)/14

x = (4±
`√(128)`)/14

factor greatest perfect square out of
`√(128)`

x = (4±
`√(64)*√(2)`)/14

simplify

x = (4±
`8*√(2)`)/14

greatest common factor

x = (2(2)±
`4(2)*√(2)`)/7(2)

x = (2)(2±
`4*√(2)`)/7(2)

x = (2±
`4*√(2)`)/7

Possible solutions for quadratic equation

`x_(1)` =
`(2+4*√(2))/(7)`

`x_(2)` =
`(2-4*√(2))/(7)`