sq rt of 3x-9= sq rt of 2x+2?

Question

solve for x where x is a real number.

Answer 1

squaring both sides,we get
3x-9=2x+2
3x-2x=2+9
x=11

Answer 2

if you square both sides of the equation you get:

3x - 9 = 2x +2
3x-2x = 2+9
x = 11

therefore sq rt of 33-9= sq rt of 22+2
therefore sq rt of 24= sq rt of 24

since the numbers under the square root are not negative the answer works

Answer 3

sq rt of 3x-9= sq rt of 2x+2
square both sides

3x - 9 = 2x + 2
x = 11

Check
√(33 - 9) = √(22 + 2)

√24 = √24

Answer 4

Since both are under the square root, that simply means both expressions under the square root must be greater than or equal to zero. This only becomes important when checking your result. Other than that, they can be ignored by squaring both sides.

3x - 9 = 2x + 2

x = 11

Since 3*11-9 > 0, and 22 + 2 > 0, the answer x = 11 is acceptable.

Answer 5

Sqrt(3x-9)=Sqrt(2x+2)

Square both sides:

(Sqrt(3x-9))^2=(Sqrt(2x+2))^2

3x-9=2x+2

Add 9 to both sides:

3x=2x+11

Subract 2x from both sides

x=11