Algebra 2
posted by Jon .
1)Find the exact solutions of the system of equations x^2 + 2y^2 = 18 and x = 2y.
x=2y
x^2+2y^2=18
(2y)^2+2y^2=18
4y^2+2y^2=18
6y^2=18
y^2=3
y=+ã3
x=2(+ã3)
x=+2ã3
(+2sqrt3,+sqrt3)
2)Simplify, (d/(d^29)) + (5/(2d+6))
[d / (d^2  9)] + [5 / (2d + 6)]
= [d / (d  3) (d +3)] + [5 / 2 (d + 3)]
= [2d + (5 {d  3})] / [2 (d + 3) (d  3)]
= [2d + 5d  15] / [2 (d + 3) (d  3)]
= (7d  15) / [2 (d + 3) (d  3)]
= (7d  15) / (2d^2  18)
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