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complete the square to solve the equationx^2+2x-9=15

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Luv2Teach

Answer:

Step-by-step explanation:

Begin by moving the constant over and isolating the x terms:

[tex]x^2+2x=24[/tex]

Now take half the linear term (2), divide it in half and then square it. Add that squared number to both sides. 2/2 = 1, and 1 squared is 1:

[tex]x^2+2x+1=24+1[/tex]

The right side is 25, easy enough. The left side forms a perfect square binomial:

[tex](x+1)^2=25[/tex]

Now square root both sides to get:

x + 1 = ±5

x = -1 + 5 and x = -1 - 5

so x = 4 and -6.

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