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x^2+8x+15=0
ans:
given x^2+8x+15=0
= x^2+5x+3x+15=0 (since 15 = 5*3)
= x(x+5)+3(x+5)
= (x+5)(x+3)
You can put this solution on YOUR website! x^2+8x+15=0
This quadratic equation is written in standard form:
We need to factor the quadratic equation.
Our a=1, b=8, and c=15
Because a=1, we can start out factoring like this:
(x____)(x____)=0
We replace the blank with 2 integers that multiply to give you c, but add together to give you b.
5*3=15 and 5+3=8
(x+5)(x+3)=0
Using the zero product property and set both parenthesis=0 and solve for x:
x+5=0
x+5-5=0-5
x=-5
:
x+3=0
x+3-3=0-3
x=-3
The solution set is x={-5,-3}
Happy Calculating!!!
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