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# Math Help

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What is the nonnegative difference between the roots for the equation x^2 + 30x + 180= -36 ?

Jun 28, 2018

#1
+8579
+2

x2 + 30x + 180  =  -36

Add  36  to both sides of the equation.

x2 + 30x + 216  =  0

What two numbers add to  30  and multiply to 216 ?  +12  and  +18

So the left side of the equation factors like this...

(x + 12)(x + 18)  =  0

Set each factor equal to zero and solve for  x .

x + 12  =  0          or          x + 18  =  0

x  =  -12                            x  =  -18

The roots of the equation are  -12  and  -18 .

The nonnegative difference between  -12  and  -18  is   (-12) - (-18)   =   -12 + 18   =   6

Jun 28, 2018

#1
+8579
+2

x2 + 30x + 180  =  -36

Add  36  to both sides of the equation.

x2 + 30x + 216  =  0

What two numbers add to  30  and multiply to 216 ?  +12  and  +18

So the left side of the equation factors like this...

(x + 12)(x + 18)  =  0

Set each factor equal to zero and solve for  x .

x + 12  =  0          or          x + 18  =  0

x  =  -12                            x  =  -18

The roots of the equation are  -12  and  -18 .

The nonnegative difference between  -12  and  -18  is   (-12) - (-18)   =   -12 + 18   =   6

hectictar Jun 28, 2018