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Class-10»Maths

Solve by factorization method:

2x²+5√3+6=0

2 x^{2} + 5 \sqrt{3} x + 6 = 0 \Rightarrow 2 x^{2} + 4 \sqrt{3} x + \sqrt{3} x + 6 = 0 \Rightarrow 2 x (x + 2 \sqrt{3}) + \sqrt{3} (x + 2 \sqrt{3}) = 0 \Rightarrow (2 x + \sqrt{3}) (x + 2 \sqrt{3}) = 0 \Rightarrow (2 x + \sqrt{3}) = 0 and (x + 2 \sqrt{3}) = 0 \Rightarrow x = \frac{- \sqrt{3}}{2} and x = - 2 \sqrt{3}

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