Respuesta :
Substituting the {3,-11/3} the equation is satisfied for the both values individually. Also it can be satisfied by solving the equation 3x2+2x-33=0 and giving the roots as x=3 and x=-11/3
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer: The solution set is [tex]\{3,-\dfrac{11}{3}\}.[/tex]
Step-by-step explanation: We are given to determine the solution set of the following quadratic equation:
[tex](3x+1)^2-100=0.[/tex]
We will be using the factorization method and the following algebraic identity in the solution:
[tex](a+b)^2=a^2+2ab+b^2.[/tex]
The solution is as follows:
[tex](3x+1)^2-100=0\\\\\Rightarrow 9x^2+6x+1-100=0\\\\\Rightarrow 9x^2+6x-99=0\\\\\Rightarrow 3x^2+2x-33=0\\\\\Rightarrow 3x^2+11x-9x-33=0\\\\\Rightarrow x(3x+11)-3(3x+11)=0\\\\\Rightarrow (x-3)(3x+11)=0\\\\\Rightarrow x-3=0,~~3x+11=0\\\\\Rightarrow x=3,~~x=-\dfrac{11}{3}.[/tex]
Thus, the solution set is [tex]\{3,-\dfrac{11}{3}\}.[/tex]