Assume that ߙ a and b are positive real numbers with a not equal to b ,such that: 2a^2 +2b^2= 5ab The value of the expression |(a+b)/(a-b)| is equal to:
Α. 1
Β. 2
c. 3
d. 4
Ε. 5
Assume that ߙ a and b are positive real numbers with a not equal to b ,such that: 2a^2 +2b^2= 5ab The value of the expression |(a+b)/(a-b)| is equal to:
Α. 1
Β. 2
c. 3
d. 4
Ε. 5
[MATH]2a^2 + 2b^2 = 5ab \implies a = \dfrac{-(-5b)\pm \sqrt{(-5b)^2 - 4(2)(2b^2)}}{2 * 2} = \dfrac{5b \pm 3b}{4} \implies[/MATH]
[MATH]a = 0.5b \text { or } a = 2b.[/MATH]
This may relate more obviously to mathematical facts that you already are familiar with.
The main point is: when you are unsure of where to start, try things.
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