if x plus 25/x = 10 then x^2 plus 50/x^2 is
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Step-by-step explanation:
x +25/x = 10
x^2 + 25x = 10x
x^2 = 10x - 25x
x^2 = -15x
x^2 + 50/ x^2
= -15x + 50/-15x
therefore, the answer is -15x + 50/-15x
Answered by
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x+25/x = 10
=> x^2 + 25 = 10x
=> (x)^2 + (5)^2 - 2 x 5 x (x) = 0
=> (x-5)^2 = 0
=> x-5= 0
=> x = 5
Now
x^2 + 50/x^2 = 5^2 + 50/5^2 = 25 + 50/25 = 25 + 2 = 27
=> x^2 + 25 = 10x
=> (x)^2 + (5)^2 - 2 x 5 x (x) = 0
=> (x-5)^2 = 0
=> x-5= 0
=> x = 5
Now
x^2 + 50/x^2 = 5^2 + 50/5^2 = 25 + 50/25 = 25 + 2 = 27
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