Question

Solve for x

X^2+4x-4=8

Answer 1

Explanation:

x^2 -4x -4 =8

x^2 - 4x -4- 8 = 0

x^2 - 4x -12 = 0

use EQN in your calculator

(x-6) (x+2) = 0

thus , x = 6 , -2

Answer 2

`x=-6,\ 2`

Explanation:

First, we can subtract 8 from both sides to get everything on one side:

`x^2+4x-4 - 8 = 0`

`x^2+4x - 12= 0`

Then, we can factor the left-hand expression:

`(x + 6)(x-2) = 0`

using the rule:

`\text{If } x^2 + cx + d = (x + a)(x + b),\text{ then } a + b = c\text{ and } a\cdot b=d.`

Finally, we can solve for x by splitting this into two equations using the zero product property:

`\text{If } A\cdot B = 0,\text{ then } A = 0 \text{ or } B=0.`

1st eq. 2nd eq.

`x + 6 = 0` or
`x - 2 = 0`

`\boxed{x = -6}` or
`\boxed{x=2}`