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Quadratic equation 2X = 15/X + 7

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Answer to a math question Quadratic equation 2X = 15/X + 7

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Gerhard
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92 Answers
$2xx=15+x\times 7$
$2x^{2}=15+x\times 7$
$2x^{2}-15=x\times 7$
$2x^{2}-15-x\times 7=0$
$2x^{2}-15-7x=0$
$2x^{2}-7x-15=0$
$x=\frac{-\left(-7\right)±\sqrt{\left(-7\right)^{2}-4\times 2\left(-15\right)}}{2\times 2}$
$x=\frac{-\left(-7\right)±\sqrt{49-4\times 2\left(-15\right)}}{2\times 2}$
$x=\frac{-\left(-7\right)±\sqrt{49-8\left(-15\right)}}{2\times 2}$
$x=\frac{-\left(-7\right)±\sqrt{49+120}}{2\times 2}$
$x=\frac{-\left(-7\right)±\sqrt{169}}{2\times 2}$
$x=\frac{-\left(-7\right)±13}{2\times 2}$
$x=\frac{7±13}{2\times 2}$
$x=\frac{7±13}{4}$
$x=\frac{20}{4}$
$x=5$
$x=\frac{-6}{4}$
$x=-\frac{3}{2}$
$x=5,-\frac{3}{2}$

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