Help me solve this math prob?

Question

sqrt(x+10)=5- sqrt(3-x)

Answer 1

√(x + 10) = 5 - √(3 - x)

Square both sides:

x + 10 = 25 - 10√(3 - x) + (3 - x)

Simplify:

x + 10 = -10√(3 - x) + 28 - x

2x - 18 = -10√(3 - x)

Now square both sides again:

4x² - 72x + 324 = 100(3 - x)

Simplify:

4x² - 72x + 324 = 300 - 100x

4x² + 28x + 24 = 0

Divide both sides by 4:

x² + 7x + 6 = 0

(x + 6)(x + 1) = 0

x = -6 and -1.

Answer 2

1) x>=-10 and x<=3

sqrt(x+10)+sqrt(3-x)=5

square both sides

x+10+3-x +2 sqrt(x+10)*(3-x)=25

sqrt((x+10)(3-x)=6

now square again

(x+10)(3-x)=36 s -x^2 -7x+30= 36  and x^2 +7x-6=0

x=((-7+-sqrt(49 -24))/2  so x= -6 and x= -1 both solutions

Answer 3

sqare both sides

x+10=25-3-x

put x's on one side and everything else on the other

x+x=25-3-10

2x=12 divide by 2

x=6