Answer:
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.
