### Home > CCA2 > Chapter 8 > Lesson 8.3.2 > Problem 8-139

Spud has a problem. He knows that the solutions for a quadratic equation are and

Just remember when we made polynomials. If you wanted 7

*and 4 to be the answers, you just used**. So you just do*.” Useminus the first one times minus the other to find the quadratic equation. Hugo says, “

*No, no, no. You can do it that way, but that's too complicated. I think you just start with*.” Try Hugo's method.and work backward. So , then, hmmm... Yeah, that'll work Whose method do you think Spud should use? Explain your choice.

**2 by 2 rectangle labeled as follows: top edge, x, minus open parenthesis, 3, + 4, I, close parenthesis, left edge, x, minus open parenthesis, 3, minus 4, I, close parenthesis.**

**Labels added to the interior as follows: top left, x squared, top right, negative, x, times, open parenthesis, 3, + 4, I, close parenthesis, bottom left, negative, x, times, open parenthesis, 3, minus 4, I, close parenthesis, bottom right, open parenthesis, 3, minus 4, I, close parenthesis, times, open parenthesis, 3, + 4, I, close parenthesis.**

**Labels changed to the interior as follows: top right, negative 3, x, minus 4, x, I, bottom left, negative 3, x, + 4, x, I, bottom right, 25**