SOLUTION: Solve the quadratic equation x2 - x = 30 by completing the square
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Question 465533: Solve the quadratic equation x2 - x = 30 by completing the square
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the quadratic equation x^2 - x = 30
:
x^2 - x + ___ = 30
Find the term that completes the square: half the coefficient of x, squared: (1/2)^2 = 1/4
Add to both sides
x^2 - x + = 30 +
x^2 - x + = +
x^2 - x + =
Which is:
(x - )^2 =
Find the square root of both sides
x - = +/-
x - = +/-
Two solutions
x = +
x =
x = +6
and
x = -
x =
x = -5
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