1.

Solve the following quadratic equations by factorization:\(\frac{x+3}{x+2}=\frac{3x-7}{2x-3}\)

Answer»

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.

\(\frac{x+3}{x+2}=\frac{3x-7}{2x-3}\)

⇒ 2x2 – 9 + 3x = 3x2 – 14 –x 

⇒ x2 – 4x – 5 = 0

⇒ x2 – 5x + x – 5 = 0 

⇒ (x – 5)(x + 1) = 0 

⇒ x = -1, 5



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