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x^2 = 3x+40

First we will move all terms to the left side:

==> x^2 - 3x - 40 = 0

Now we can either factor or use the formula:

To fctor:

x^2 - 3x - 40 = (x-8)(x+5)= 0

==> x1= 8

== x2= -5

OR:

x= [-b +...

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x^2 = 3x+40

First we will move all terms to the left side:

==> x^2 - 3x - 40 = 0

Now we can either factor or use the formula:

To fctor:

x^2 - 3x - 40 = (x-8)(x+5)= 0

==> x1= 8

== x2= -5

OR:

x= [-b + sqrt(b^2 - 4ac)]/2a

x1= [3 + sqrt(9 +160)[/2 = [ 3+ 13)/2 = 8

x2= [ 3- 13]/2 = -10/2 = -5

==> x= { -5, 8}

Approved by eNotes Editorial Team