Question

Use the zero product property to find the solutions to the equation x^2-13x+30=0

A:x=-10/x=-3
B:x=-10/x=3
C:x=-3/x=10
D:x=3/x=10

Answer 1

D) x = 3 , x= 10.

Explanation:

Given : x²-13x+30=0

To find : Use the zero product property to find the solutions to the equation.

Solution : We have given

x²-13x+30=0

On factoring

x²-10x -3x +30=0

On taking x common from first two terms and -3 from last two terms .

x ( x - 10 ) - 3( x - 10 ) = 0

On grouping

(x -3) ( x -10) = 0.

By the zero product property

x -3 = 0

x = 3 ,

For x - 10 = 0.

x = 10.

Therefore,D) x = 3 , x= 10.