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Solve\[2x ^{2}=14x+20\]
Put all terms in one side \[2x^2-14x-20=0\]
You can use either completing the square or quadratic equation here
so it would be \[\frac{ -14x \sqrt{14x ^{2}-2x ^{2}*20} }{ 2*2x ^{2} }\]
\[2x^2-14x-20=0 \\ \\ Ax^2+Bx+C=0 \\ \\ x=\frac{-B \pm \sqrt{B^2-4AC}}{2A}\]
\[x=\frac{-(-14)\pm \sqrt{(-14)^2-4(2)(-20)}}{2(2)}\]
Did you get it?
\[\frac{ 14\sqrt{356} }{ 4}\]
\[\frac{14\pm\sqrt{356}}{4}\] now 356 is divisible by four both the solutions wil have a square root in them
\[28\sqrt{89}\]
i got \[\frac{ 7\sqrt{89} }{ 2 }\]
From Unkle's view, \[x=\frac{14\pm\sqrt{356}}{4} \\ \\ x=\frac{14}{4}\pm \frac{\sqrt{356}}{4} \\ \\ x=\frac{7}{2}\pm \frac{2\sqrt{89}}{2} \\ \\ x=\frac{7}{2} \pm \sqrt{89}\] Split it up, since we have plus and minus \[x=\frac{7}{2}+\sqrt{89} ~~~~OR~~~~ x=\frac{7}{2}-\sqrt{89}\]
ok thnx
*\[ x=\frac{14}{4}\pm \frac{\sqrt{356}}{4} \\ \\ x=\frac{7}{2}\pm \frac{2\sqrt{89}}{4} \\ \\ x=\frac{7}{2} \pm \frac{\sqrt{89}}2\]
ffff, nowonder it feels weird
You get \[x=\frac{7}{2}+\frac{\sqrt{89}}{2} ~~~~OR~~~~ x=\frac{7}{2}-\frac{\sqrt{89}}{2}\]
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