Answer:
Solve the equation for x by finding a , b , and c
of the quadratic then applying the quadratic formula.
Exact Form:
x = − 4 ± √ 5
Decimal Form: x = − 1.76393202 … , − 6.23606797 …
The perfect square equation represents x²+8x+11=0 by completing the square will be (x+4)²-5.
A perfect square is a number that may be expressed as the product of two integers or as the second exponent of an integer.
Given equation;
x²+8x+11=0
To convert it into the perfect square form divide the coefficient of x by 2 and square it then add and subtract the term obtained in the equation as;
x²+8x+11=0
8/2 = 4
4² = 16
x²+8x+16+11-16
(x+4)²-5
Hence, the perfect square equation that represents x²+8x+11=0 by completing the square will be (x+4)²-5.
To learn more about the perfect square, refer to the link https://brainly.com/question/385286.
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