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Challenge: Solve the following equation by completing the square and enter the answers from below from least to great.

Equation: x(2)+16x+62=7

Results: x= {____ , _____} ​

Sagot :

Cutepoptart
Hope this helps you
X=3.05, -55/18
Luv2Teach

Answer:

Step-by-step explanation:

To begin, get everything but the x terms on one side of the equation by subtracting the 62. That gives us

[tex]x^2+16x=-55[/tex]

Next, take half the linear term, square it, and add it to both sides. Our linear term is 16. Half of 16 is 8, and 8 squared is 6, so add 64 to both sides:

[tex]x^2+16x+64=9[/tex]

The reason we do this is to get a perfect square binomial on the left, which looks like this:

[tex](x+8)^2=9[/tex]. Undo the squaring on the left by taking the square root of both sides. Doing this leaves x + 8 on the left, but + or - 3 on the right:

x + 8 = 3 and x + 8 = -3. Solving each of these equations gives you your 2 solutions:

x = -5 and x = -11

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