Question

Select the correct answer from each drop-down menu.

Three students used factoring to solve a quadratic equation.

x² + 17x + 72 = 12




Jordan's Solution Keith's Solution Randall's Solution
x² + 17x + 72 = 12 x² + 17x + 72 =12 x² +17x +72 = 12
(x + 8)(x + 9)= 12 x² + 17x +60 =0 x2 +17x = -60
x+8=12 & x+9=12 (x +5)(x +12) +0 x(x +17) = -60
x + 5 =0 & x + 12 = 0 x = -60 & x +17 = -60

The equation was solved correctly by ____. The solutions of the equation are ____

Answer 1

Explanation:

x = -5 and x = -12 are the solutions.

Looks like Keith's solution is the correct one as he got as far as

x + 5 = 0 and x + 12 = 0.