1.

Solve the following quadratic equations by factorization:\(4\sqrt{3}x^{2}+5x-2\sqrt{3}=0\)

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.

\(4\sqrt{3}x^{2}+5x-2\sqrt{3}=0\)

⇒ 4√3x2 + 8x – 3x – 2√3 = 0 

⇒ 4x(√3x + 2) – √3(√3x + 2) = 0 

⇒ (4x - √3)(√3x + 2) = 0 

⇒ x = √3/4, - 2/√3



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