Solve the following quadratic equations by factorization: 7x + 3/x = 35(3/5)

Question

Solve the following quadratic equations by factorization:

\(7x+\frac{3}{x}=35\frac{3}{5}\)

Answer 1

In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized.

\(7x+\frac{3}{x}=35\frac{3}{5}\)

⇒ 7x² + 3 = 178x/5 

⇒ 35x² – 178x + 15 = 0 

⇒ 35x² – 175x – 3x + 15 = 0 

⇒ 35x(x – 5) -3(x – 5) = 0 

⇒ (35x – 3)(x – 5) = 0 

⇒ x = 5, 3/35