SOLUTION: Please help me answer this question I am stuck and cannot get past it. Thank you for any help you can give me :)
explain how to solve a quadratic equation by completing the squa
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Question 570251: Please help me answer this question I am stuck and cannot get past it. Thank you for any help you can give me :)
explain how to solve a quadratic equation by completing the square. Demonstrate the process with your own example. Please explain step by step how you worked through your example.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
explain how to solve a quadratic equation by completing the square.
Using the example x^2 + 6x - 2 = 0
:
We complete the square by finding the third term, when we subtract 2 from both sides:
x^2 + 6x + ____ = 2
:
The third terms can be found by dividing the coefficient of x by 2 and squaring it.
In this case it is 6, half of 6 = 3, 3^2 = 9, so we add 9 to both sides
x^2 + 6x + 9 = 2 + 9
x^2 + 6x + 9 = 11
:
Factor to reveal a perfect square
(x+3)(x+3) = 11
or
(x+3)^2 = 11
:
Find the square root of both sides
x + 3 = +/-
x = -3 +/-
Two solutions
x = -3 +
and
x = -3 -
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