You get x to the fourth.
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Plus or minus the base. If the base is X and you square it, you get X2. If you take the square root of that, you get Plus or Minus X. This is because X*X equals X2 and -X*-X also equals X2.
Since there are only terms in x2 and constants, but none in x, completing the square is not an option! x2 - 14 = 7 x2 = 21 and so x2 = sqrt(21)
It is an equation with no real solutions - only complex ones. x2 + 302 = 162 x2 + 900 = 256 x2 = -644 So x = ±25.38*i, where i is the imaginary square root of -1.
Let's call x the unknown side of the square. Using Pythagoras's theorem: x2+x2 = 322 x2+x2 = 1024 2x2 = 1024 x2 = 512 x = 22.627417 feet So the square has 4 sides of 22.627417 feet Perimeter = 4*22.627417 = 90.50966799 feet
x2-10 = 0 x2 = 10 x = the square root of 10