Solve the factored quadratic equation (x−5)(x+3)=0

Question

.(1 point)
The smaller solution is x= ?
, and the larger solution is x= ?
.

Answer 1

To solve the factored quadratic equation (x−5)(x+3)=0, we set each factor equal to zero and solve for x:

Setting x−5=0, we add 5 to both sides:
x=5.

Setting x+3=0, we subtract 3 from both sides:
x=−3.

Therefore, the smaller solution is x=−3, and the larger solution is x=5.