1.

Solve the following quadratic equations by factorization:\(x^{2}-(\sqrt{3}+1)x+\sqrt{3}=0\) 

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.

\(x^{2}-(\sqrt{3}+1)x+\sqrt{3}=0\)

⇒ x2 –x -√3x + √3 = 0 

⇒ x(x – 1) - √3(x – 1) = 0 

⇒ (x - √3)(x – 1) = 0 

⇒ x = √3, 1



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