Question

Solving polynomial equations by factoring Solve: 1/2x^2+5x+25/2=0 Full explanation please, thanks

Answer 1

Answer:

x=-5

Step-by-step explanation:

1/2x^2+5x+25/2=0

Multiply each side by 2 to clear the fractions

2*(1/2x^2+5x+25/2)=0*2

Distribute

x^2+10x+25=0

What two numbers multiply together to give us 25 and add together to give us 10

5*5 = 25

5+5 =10

(x+5) (x+5) =0

Using the zero product property

x+5 =0  x+5 = 0

x+5-5= 0-5    x+5-5 =0-5

x=-5  x=-5

x=-5