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Question

Find solution of the given equation 

x+51=2x+10x6 



A

True

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B

False

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C

x=3,x=5

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D

x=7,x=6

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Solution

The correct option is C

x=8,x=5


x+51=2x+10x6

After cross multiplication,

(x+5)×(x6)=(2x+10)×(1)

x2x30=2x+10

x23x40=0 is in the form of ax2+bx+c = 0     [Quadratic equation]

By using factorization method

x23x40=0

                       x2(85)x40

                       x28x+5x40

                       x(x8)+5(x8)

                        (x8)(x+5)

x=8,orx=5


Mathematics

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