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

D) x = 3, x = 10.

Step-by-step 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.