(i) 3x2 - 4 V3 x+4 = 0 – InterviewSolution

1.	(i) 3x2 - 4 V3 x+4 = 0
Answer» GIVEN :- 3x² - 4√3x + 4 = 0. TO FIND :- The value of x. SOLUTION :- $\implies \sf \: 3x ^{2} - 4 \sqrt{3} x + 4 = 0$ By SPLITTING the MIDDLE TERM, $\implies \sf \: 3x ^{2} - \bigg (2 \sqrt{3} + 2 \sqrt{3} \bigg )x + 4 = 0 \\$ $\implies \sf \: 3x ^{2} - 2 \sqrt{3}x - 2 \sqrt{3}x + 4 = 0 \\$ $\implies \sf \: \sqrt{3} x \bigg( \sqrt{3} x - 2 \bigg) - 2 \bigg( \sqrt{3} x - 2 \bigg) = 0 \\$ $\implies \sf \: \bigg( \sqrt{3} x - 2 \bigg) \bigg( \sqrt{3} x - 2 \bigg) = 0 \\$ $\implies \sf \: \bigg( \sqrt{3} x - 2 \bigg) ^{2} = 0 \\$ $\implies \sf \: \sqrt{3}x - 2 = \sqrt{0} \\$ $\implies \sf \: \sqrt{3} x - 2 = 0 \\$ $\implies \sf \: \sqrt{3} x = 2 \\$ $\implies \underline{ \boxed{ \sf \: x = \dfrac{2}{ \sqrt{3} } }}$ The above quadratic equation has REAL and equal roots .