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Question-119629




Question Number 119629 by 9764954060 last updated on 25/Oct/20
Answered by TANMAY PANACEA last updated on 25/Oct/20
ax^2 +bx+c=0  x=((−b±(√(b^2 −4ac)))/(2a))  so here x=((−3±(√(3^2 −4×2×7)))/(2×2))=((−3±(√(−47)))/4)  x=((−3±i(√(47)))/4)   [i=(√(−1)) ]
$${ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0} \\ $$$${x}=\frac{−{b}\pm\sqrt{{b}^{\mathrm{2}} −\mathrm{4}{ac}}}{\mathrm{2}{a}} \\ $$$${so}\:{here}\:{x}=\frac{−\mathrm{3}\pm\sqrt{\mathrm{3}^{\mathrm{2}} −\mathrm{4}×\mathrm{2}×\mathrm{7}}}{\mathrm{2}×\mathrm{2}}=\frac{−\mathrm{3}\pm\sqrt{−\mathrm{47}}}{\mathrm{4}} \\ $$$${x}=\frac{−\mathrm{3}\pm{i}\sqrt{\mathrm{47}}}{\mathrm{4}}\:\:\:\left[{i}=\sqrt{−\mathrm{1}}\:\right] \\ $$

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