1.

Solve the following quadratic equations by factorization:\(5x^{2}-3x-2 = 0\)

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.

\(5x^{2}-3x-2 = 0\)

⇒ 5x2 – 5x + 2x – 2 = 0

⇒ 5x(x – 1) + 2(x – 1) = 0 

⇒ (5x + 2)(x – 1) = 0 

⇒ x = -2/5, 1



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