SOLUTION: 1. √50 + √72 2. One of the roots of X^2-X-1=0 is: 3. Simplify: x+x/y ________ x-x/y 4. Simplify: 3x/y+2 _______

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 1. √50 + √72 2. One of the roots of X^2-X-1=0 is: 3. Simplify: x+x/y ________ x-x/y 4. Simplify: 3x/y+2 _______       Log On


   

Question 1098703: 1. √50 + √72
2. One of the roots of X^2-X-1=0 is:
3. Simplify: x+x/y
________
x-x/y
4. Simplify: 3x/y+2
_______
x/y-2
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The first is sqrt (25)*sqrt(2)+sqrt(36)*sqrt(2)
=5 sqrt(2)+6 sqrt(2)=11 sqrt(2)
Do these by adding the square roots of the same number.
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x^2-x-1=0
x=(1/2)(1+/- sqrt(1+4)
one root is (1/2)( 1+ sqrt(5)); the other is (1/2)(1-sqrt(5))
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-x-1%29
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x+(x/y)=(xy+x)/y=x(y+1)/y
x-(x/y) is (xy-x)/y or x(x-1)/y
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3x/y +2
(3x+2y)/y
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if that is 3x/(y+2), it can't be simplified further.
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if this is (x/y)-2, then it is (x-2y)/y; if it is x/(y-2), it can't be simplified.