Consider the equation: 6x+55=x^2
1) Rewrite the equation by completing the square.
Your equation should look like (x+c)^2=d(x+c)
2
=dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c)
2
=dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
2) What are the solutions to the equation?

Step-by-step explanation:

1.

Subtract the coefficient from both sides, keep 55 on the same side.

Complete the square by dividing the coefficient by two and squaring it.

Use binomial to factor the left side.

2. Solve for x.

Remeber the square root of 64 is also -8 so

So the solutions are -5 and 11

g

step-by-step explanation:

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