factoring problem

If x2+3x=10 , x=


I CAN'T figure what the problem is.

since this is a factoring problem, lets start with finding the factors. .
x2+3x=10\displaystyle x^2+3x=10
x2+3x10=0\displaystyle x^2+3x-10=0

this is of the formAX2+BX+C\displaystyle AX^2+BX+C

suppose the roots are a and b.
a+b=B\displaystyle a+b=B
ab=AC\displaystyle a*b=A*C

in this case,
a+b=3\displaystyle a+b=3
ab=10\displaystyle a*b=-10

factors are (x+a)\displaystyle (x+a) and (x+b)\displaystyle (x+b)
values for x would be -a and -b.
 
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