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.

a² + b²= c²

24² + 7² = c²

c= 25

77

step-by-step explanation: