SOLUTION: x SQUARED(2) + 7 = 21 CAN YOU HELP ME SOLVE THIS EQUATION? ALSO COULD YOU EXPLAIN HOW YOU WOULD KNOW IF YOU SUBTRACT, DIVIDE OR ADD TO THE OTHER SIDE?

Algebra ->  Equations -> SOLUTION: x SQUARED(2) + 7 = 21 CAN YOU HELP ME SOLVE THIS EQUATION? ALSO COULD YOU EXPLAIN HOW YOU WOULD KNOW IF YOU SUBTRACT, DIVIDE OR ADD TO THE OTHER SIDE?      Log On


   



Question 38398: x SQUARED(2) + 7 = 21 CAN YOU HELP ME SOLVE THIS EQUATION? ALSO COULD YOU EXPLAIN HOW YOU WOULD KNOW IF YOU SUBTRACT, DIVIDE OR ADD TO THE OTHER SIDE?
Found 2 solutions by fractalier, Nate:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The general idea is to isolate x on one side of the equation and put everything else on the other side...to do that, you normally try to UNDO what is being done to x...so in this problem
x^2 + 7 = 21
you want to undo the +7 by subtracting 7 from both sides first, giving us
x^2 = 14
now you want to take the square root of both sides. This undoes the squaring of x, and we get
x = ± sqrt(14)
Two answers, a plus and a minus square root of 14.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2+%2B+7+=+21 subtract seven to each side in order to get 'x' on one side
2x%5E2+=+14 divide by 2 to get 'x' on one side
x%5E2+=+7 square root each side in order to get 'x' equaling a number
x+=%287%29%5E%281%2F2%29 or x+=-%287%29%5E%281%2F2%29