Mathematics
jbatista123
2021-05-04 21:11:27
What two numbers add up to 7 and multiply to get -504?
ANSWERS
ToriFultz96
2021-05-05 02:23:55

xy=-504 x+y=7 subtract y from both sides x=7-y subsitute 7-y for x (7-y)(y)=-504 7y-y^2=-504 add (y^2-7y) to both sides 0=y^2-7y-504 use quadratic formula which is x=[latex] frac{-b+/- sqrt{ b^{2}-4ac } }{2a} [/latex] subsitute ax^2+bx+c a=1 b=-7 c=-504 x=[latex] frac{-(-7)+/- sqrt{ -7^{2}-4(1)(-504) } }{2(1)} [/latex] x=[latex] frac{7+/- sqrt{ 49-(-2016) } }{2} [/latex] x=[latex] frac{7+/- sqrt{ 49+2016 } }{2} [/latex] x=[latex] frac{7+/- sqrt{ 2065 } }{2} [/latex] x=[latex] frac{7+/- sqrt{ 2065 } }{2} [/latex] x=[latex] frac{7+sqrt{ 2065 } }{2} [/latex] or x=[latex] frac{7- sqrt{ 2065 } }{2} [/latex]

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