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Simplifying
(sqrt(11) + 5)(sqrt(11) + -5) = 0
Reorder the terms for easier multiplication:
(11qrst + 5)(sqrt(11) + -5) = 0
Reorder the terms:
(5 + 11qrst)(sqrt(11) + -5) = 0
Reorder the terms for easier multiplication:
(5 + 11qrst)(11qrst + -5) = 0
Reorder the terms:
(5 + 11qrst)(-5 + 11qrst) = 0
Multiply (5 + 11qrst) * (-5 + 11qrst)
(5(-5 + 11qrst) + 11qrst * (-5 + 11qrst)) = 0
((-5 * 5 + 11qrst * 5) + 11qrst * (-5 + 11qrst)) = 0
((-25 + 55qrst) + 11qrst * (-5 + 11qrst)) = 0
(-25 + 55qrst + (-5 * 11qrst + 11qrst * 11qrst)) = 0
(-25 + 55qrst + (-55qrst + 121q2r2s2t2)) = 0
Combine like terms: 55qrst + -55qrst = 0
(-25 + 0 + 121q2r2s2t2) = 0
(-25 + 121q2r2s2t2) = 0
Solving
-25 + 121q2r2s2t2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 121q2r2s2t2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 121q2r2s2t2 = 0 + 25
121q2r2s2t2 = 0 + 25
Combine like terms: 0 + 25 = 25
121q2r2s2t2 = 25
Divide each side by '121r2s2t2'.
q2 = 0.2066115702r-2s-2t-2
Simplifying
q2 = 0.2066115702r-2s-2t-2
Take the square root of each side:
q = {-0.454545454r-1s-1t-1, 0.454545454r-1s-1t-1}
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