1.

Solve the following quadratic equations by factorization:\(25x(x+1)=-\,4\)

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.

\(25x(x+1)=-4\)

⇒ 25x2 + 25x + 4 = 0 

⇒ 25x2 + 20x + 5x + 4 = 0 

⇒ 5x(5x + 4) + (5x + 4) = 0 

⇒ (5x + 1)(5x + 4) = 0 

⇒ x = -1/5, -4/5



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