Respuesta :
The solution set of the given quadratic equation using factorization will be {-3,11}
Given equation is
[tex]x^{2} -8x-33 = 0[/tex]
What is a quadratic equation?
The polynomial equation whose highest degree is two is called a quadratic equation. The equation denoted by ax² + bx + c = 0, where a is non-zero.
Let us calculate the roots by factorization
[tex]x^{2} -11x+3x-33=0[/tex]
[tex]x(x-11)+3(x-11)=0[/tex]
[tex](x-11) (x+3)=0[/tex]
[tex]x-11=0\\x=11\\x+3=0\\x=-3[/tex]
Hence, the solution set of the given quadratic equation will be {-3,11}
To get more about quadratic equation visit:
https://brainly.com/question/1214333