What two numbers have the sun of -8 and the product of 9?
x+y=-8
xy=9
x²+y²=?
Answers
Answered by
0
Answer:
Step-by-step explanation:
x+y=-8
xy=9
x*x+y*y=[x+y]square-2xy
=64-18
=46
Answered by
0
X + y = -8
X = -8 -y
XY = 9
(-8-y) (y) =9
-8y - y^2 -9 = 0
y^2 +8y +9 = 0
Factors for 9
1,9
3,3
This is not possible
But using the quadratic formula , you can solve for x
X = -b +- sqrt (-b^2 -4ac ) / 2a
X = -8 +- sqrt ( 64. - 4*1*9)/2*1
X = -8 +- sqrt (64 -36) /2
X = -8 +- sqrt ( 28) /2
X = -8 +- 2 sqrt 7 / 2 ———-factor the gcf = 2
X = -4 +- sqrt 7
Y = 9 - (-4 +- sqrt 7)
Y = 9 + 4 +- sqrt 7
Y = 13 +- sqrt 7
X ^2 + Y ^2 = (-4 +- sqrt 7)^2 + ( 13 +- sqrt 7)^2
X = -8 -y
XY = 9
(-8-y) (y) =9
-8y - y^2 -9 = 0
y^2 +8y +9 = 0
Factors for 9
1,9
3,3
This is not possible
But using the quadratic formula , you can solve for x
X = -b +- sqrt (-b^2 -4ac ) / 2a
X = -8 +- sqrt ( 64. - 4*1*9)/2*1
X = -8 +- sqrt (64 -36) /2
X = -8 +- sqrt ( 28) /2
X = -8 +- 2 sqrt 7 / 2 ———-factor the gcf = 2
X = -4 +- sqrt 7
Y = 9 - (-4 +- sqrt 7)
Y = 9 + 4 +- sqrt 7
Y = 13 +- sqrt 7
X ^2 + Y ^2 = (-4 +- sqrt 7)^2 + ( 13 +- sqrt 7)^2
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