Question

Find zeroes of polynomial 2xsquare-4x -12​

Answer 1

$\small \bf \red{hey \: mate \: here \: is \: ur \: ans} \\ \\ \small \bf \red{ \huge \: solution} \\ \\ \small \bf \red{2 {x}^{2} - 4x - 12 = 0} \\ \\ \small \bf \red{ \underline{multiplying \: by \: 2 \: into \: both \: sides}} \\ \\ \small \bf \red{4 {x}^{2} - 8x - 24 = 0 \times 2} \\ \\ \small \bf \red{(2x)^{2} - 2 \times 2x \times 2 + {2}^{2} - {2}^{2} - 24 = 0} \\ \\ \small \bf \red{(2x - 2)^{2} - 4 - 24 = 0} \\ \\ \small \bf \red{ {(2x - 2)}^{2} = 28} \\ \\ \small \bf \red{ } \\ \\ \small \bf \red{2x - 2 = \pm \sqrt{28} } \\ \\ \small \bf \red{2x - 2 = \pm \sqrt{2 \times 2 \times 7} } \\ \\ \small \bf \red{2x = \pm2 \sqrt{7} + 2} \\ \\ \small \bf \red{x = \frac{2 \sqrt{7} + 2}{2} = } \\ \\ \small \bf \red{x = \frac{2( \sqrt{7 } + 1) }{2} } \\ \\ \small \bf \red{x = \sqrt{7} + 1} \\ \\ \small \bf \red{and} \\ \\ \small \bf \red{x = 1 - \sqrt{7} \: \: \: ans }$