solve it by using factorization method.
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Answer:
x=1/2 or x=2
Step-by-step explanation:
Given equation, x+1/x=2.5
x+1/x=5/2
Taking LCM on L.H.S, we have
(x²+1)/x=5/2
2(x²+1)=5x
2x²+2=5x
2x²−5x+2=0
2x²−4x−x+2=0
2x(x−2)−1(x−2)=0
(2x−1)(x−2)=0
So, 2x−1=0 or x−2=0
Hence, x=1/2 or x=2
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Answer:
hey your answer is as follows
so pls mark it as brainliest
Step-by-step explanation:
now here given equation is
x+1/x=2.5
so multiplying throughout by x
we get
x square+1=2.5x
ie x square-2.5x+1=0
so this is a quadratic equation
thus then
x square-2x+0.5x+1=0
ie x(x-2)-0.5(x-2)=0
so (x-0.5)(x-2)=0
ie x=0.5 or x=2
so 0.5 can be written as 0.5 as 1/2
so thus then
x=1/2 or x=2 are 2 permisibble and required roots of above quadratic equation
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