Solve the equation: square root of 10 - x + x = -2. Find x.?

Question

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Must find the square root of 10 - x + x = -2 and so on. Thanks in advance for the replies.

Find (x) after finding the square root of (10 - x + x = -2). Is that better? I'm not that good in math...as you can tell.

Answer 1

I assume you mean sqrt(10 - x) +x = -2

Subtract x from both sides.
sqrt(10 - x) = -2 -x

Square both sides.
10 - x = (-2 - x)^2

Expand and get one side set to zero.
0 = x^2 + 5x - 6

Factor.
0 = (x-1) (x+6)

Two answers are possible... +1, -6

But when you plug them in...
1 gives 4=-2 so 1 is not the answer

-6 gives -2=-2

So we have only one real answer. -6

Answer 2

square root of (10 - x) + x = -2.
square root of (10 - x) = -2.-x
squaring both sides
10 - x = {-(x+2)}^2
10 - x = x^2 +4x+4
0 =x^2 +5x-6
0 =(x+6)(x-1)
Therefore X= - 6 and x=1
x= - 6 satisfy the equation only

Answer 3

It would really help to know what is under the square root.

If you have sq rt(10-x) + x = -2 which is what I think you have, then you need to move the x to the right side of the equation.

After you have the square root isolated undo the square root by squaring both sides of the equation.

After squaring both sides of the equation, move everything to one side and set the equation equal to zero.

Factor the equation and set each factor equal to zero and solve for x.

Good luck. Hope this helps.

Answer 4

Are you tryin' to get the square root of 10 or the square root of (10 - x + x) and so on?

Answer 5

Please re-write the question (the equation) so it makes more sense. Maybe use parentheses as needed?