The polynomial x^2 + 8x = 33 by completing the square of the solution set of equation -11.
The quadratic equation given to us is
\(x^2+8x=33\)
What is the complete square method?
The Completing Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial.
We add half the square of the coefficient of x to both sides of the equation to obtain,
\(x^2+8x+4^2=33+4^2\)
This implies that,
\(x^2+8x+4^2=33+16\)
This implies that,
\(x^2+8x+4^2=49\)
The right-hand side simplifies to
This gives us
\((x+4)^2=49\)
We take the square root of both sides
The left-hand side is a perfect square.
This evaluates to
We take the square root of both sides
\((x+4)= \±\sqrt{49}\)
We now split the square root sign to get
\(x+4=\±7\)
\(x=-4-7 or x=-4+7\)
\(x=-11 or x=3\)
The correct answer is A.
The polynomial x^2 + 8x = 33 by completing the square the solution set of equation -11.
To learn more about the solution set visit:
https://brainly.com/question/12249971
