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Solve the following quadratic equations by factorization:\(\sqrt{3}x^{2}-2\sqrt{2}x-2\sqrt{3}=0\) |
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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. \(\sqrt{3}x^{2}-2\sqrt{2}x-2\sqrt{3}=0\) ⇒ √3x2 – 3√2x + √2x – 2√3 = 0 ⇒ √3x2 – √3×√3×√2x + √2x – 2×√3×√3 = 0 ⇒ √3x2 – √3×√6x + √2x – √6×√3 = 0 ⇒ √3x(x - √6) + √2(x - √6) = 0 ⇒ (√3x + √2)(x - √6) = 0 ⇒ x = √6, -√(2/3) |
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