Solve for γ
\gamma =2\sqrt{11}\approx 6.633249581
\gamma =-2\sqrt{11}\approx -6.633249581
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\gamma ^{2}=44
Add 36 and 8 to get 44.
\gamma =2\sqrt{11} \gamma =-2\sqrt{11}
Take the square root of both sides of the equation.
\gamma ^{2}=44
Add 36 and 8 to get 44.
\gamma ^{2}-44=0
Subtract 44 from both sides.
\gamma =\frac{0±\sqrt{0^{2}-4\left(-44\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -44 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
\gamma =\frac{0±\sqrt{-4\left(-44\right)}}{2}
Square 0.
\gamma =\frac{0±\sqrt{176}}{2}
Multiply -4 times -44.
\gamma =\frac{0±4\sqrt{11}}{2}
Take the square root of 176.
\gamma =2\sqrt{11}
Now solve the equation \gamma =\frac{0±4\sqrt{11}}{2} when ± is plus.
\gamma =-2\sqrt{11}
Now solve the equation \gamma =\frac{0±4\sqrt{11}}{2} when ± is minus.
\gamma =2\sqrt{11} \gamma =-2\sqrt{11}
The equation is now solved.
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