You can put this solution on YOUR website! Solve the equation by completing the square.
x^2 + 18x + 58 = 0
Subtract 58 from both sides, showing the place we need to complete the square:
x^2 + 18x + ___ = -58
We find the value to complete the square by; divide the coefficient of x by 2 & square it
That would be (18/2)^2 which is 81, add 81 to both sides, we have:
x^2 + 18x + 81 = -58 + 81
x^2 + 18x + 81 = +23
factor the perfect square
(x + 9)^2 = 23
Find the square root of both sides
x + 9 = +/-
subtract 9 from both sides
x = -9 +/-
Two solutions
x = -9 +
and
x = -9 -
:
:
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