Question

Solve by factorisation:
${v}^{2} + 4 \sqrt{3} v - 15$
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Answer 1

Answer:

${v}^{2} + 4 \sqrt{3} v - 15 = 0 \\ \\ {v}^{2} + 5 \sqrt{3} v - \sqrt{3}v - 15 = 0 \\ \\ v(v + 5 \sqrt{3}) - \sqrt{3} (v + 5 \sqrt{3} ) = 0 \\ \\ (v - \sqrt{3} )(v + 5 \sqrt{3} ) = 0 \\ \\ v = \sqrt{3} \: \: , \: \: v = - 5 \sqrt{3}$