Answer:
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Step-by-step explanation:
Answer:
x^2 + 18x + 76 + 5 = 0 + 5
Step-by-step explanation:
The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.
The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:
x^2 + 18x + 76 + 5 = 0 + 5
Then the next step would be to write the left side as a square:
(x +9)^2 = 5 . . . . . . . p = -9; q= 5
Use the sum of cubes factoring rule

to transform the left hand side into the right hand side.


Throughout the entire process, the right hand side stayed the same.
On the last step, I used the pythagorean identity.
To solve this, simply substiture 8 in for x, and solve for y.
11(8) -6y = -1
Multiply 11 by 8
88 - 6y = -1
Subtract 88 from each side of the equation.
-6y = -89
Lastly divide each side of the equation by -6
y = 89/6 is your answer.
Hope this helps!