Question

Solve the following quadratic equations by factorization:

`7x + 3/x = 35 3/5`

Answer 1

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.