Question

Solve x2 - 8x + 14 = 2x - 7

Answer 1

Answer:

x=7, x=3

Step-by-step explanation:

             $x^{2} -8x+14=2x-7$

$x^{2} -8x-2x+14+7=0$

            $x^{2} -10x+21=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x=$ $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

positive

$x=\frac{-\left(-10\right)+\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}$

$x=7$

negative

$x=\frac{-\left(-10\right)-\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}$

$x=3$