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emmasim [6.3K]
3 years ago
5

Which Two Numbers Add Up To Negative 26 And Multiply To 11?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
5 0
Xy=11
x+y=-26


x+y=-26
minus x both sides
y=-26-x

sub for y
x(-26-x)=11
-26x-x^2=11
add 26x+x^2 both sides
x^2+26x+11=0

ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}


a=1
b=26
c=11

x=\frac{-26+/-\sqrt{26^{2}-4(1)(11)} }{2(1)}
x=\frac{-26+/-\sqrt{676-44} }{2}
x=\frac{-26+/-\sqrt{632} }{2}
x=\frac{-26+/-2\sqrt{158} }{2}
x=-13+/-\sqrt{158}

x=-13+\sqrt{158} or -13-\sqrt{158}

aprox

x=-0.420195 or -25.5698

those are the numbers
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Answer

sqrt(108)

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I don't know which answer you  want.

Step-by-step explanation:

  • Drop a perpendicular from the top angle to the base.
  • The base is cut into 2 equal parts.
  • Each part is 12/2 = 6
  • The perpendicular, as its name implies, meets the base at 90o.
  • You can use the Pythagorean Theorem to find the height.

h^2 = side^2 - (1/2 b)^2

h^2 = 12^2 - 6^2

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