SOLUTION: 2x^2-3x=5 completing the square

Question 331423: 2x^2-3x=5 completing the square
Found 2 solutions by galactus, ankor@dixie-net.com:
Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
When completing the square, use the formula:

Simply plug in a=2, b=-3, c=-5
And get:

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
2x^2-3x=5 completing the square
;
We need the coefficient of x^2, to be 1, divide each term by 2, and you have
x^2 - x =
:
x^2 - x + ____ =
:
will complete the square. add to both sides
x^2 - x + = +
:
x^2 - x + = +
:
x^2 - x + =
:
(x - )^2 =
:
Find the square root of both sides
x - = +/-
:
x = +/-
a perfect square
x = +/-
Two solutions
x = +
x =
x = 2
and
x = -
x =
x = -1
:
:
Check solution in original equation using x=2.5
2(2.5^2) -3(2.5) = 5
2(6.25) - 7.5 = 5
12.5 - 7.5 = 5; confirms our solution,
:
You can check solution for x=-1
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