# Solve the Following Quadratic Equations by Factorization: 7x + 3/X=35 3/5 - Mathematics

Solve the following quadratic equations by factorization:

7x + 3/x=35 3/5

#### Solution

We have been given,

7x + 3/x=35 3/5

7x^2+3/x=(35+3/5)x

7x^2-(35+3/5)x+3=0

Therefore,

7x^2-35x-3/5x+3=0

7x(x-5)-3/5(x-5)=0

(7x-3/5)(x-5)=0

Therefore,

7x-3/5=0

7x=3/5

x=3/35

or,

x - 5 = 0

x = 5

Hence, x=3/35 or x = 5.

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#### APPEARS IN

RD Sharma Class 10 Maths