## Emily778 2 years ago what is the solution to x= sqrt-x+6 ?

1. ehuman

this? |dw:1388985786959:dw|

2. Timeless

$\huge x = \sqrt{-x+6}$ square both sides. $\huge x^2 = -x +6$ solve as a quadratic $\huge x^2 + x - 6 = 0$

3. kc_kennylau

Remember to check for extraneous solutions :D

4. Emily778

what next?

5. kc_kennylau
6. kc_kennylau
7. kc_kennylau
8. Timeless

Use the quadratic formula or just factor: $\huge (x+3)(x-2) = 0$ $\huge x = -3 , x = 2$ Plug them in back to the original equation to confirm if they are both correct.