Question

solve it by using factorization method.​

Answer 1

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

Answer 2

Answer:

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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