Solve for y
y=-36i
y=36i
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y^{2}+1296=0
Calculate 6 to the power of 4 and get 1296.
y^{2}=-1296
Subtract 1296 from both sides. Anything subtracted from zero gives its negation.
y=36i y=-36i
The equation is now solved.
y^{2}+1296=0
Calculate 6 to the power of 4 and get 1296.
y=\frac{0±\sqrt{0^{2}-4\times 1296}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 1296 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
y=\frac{0±\sqrt{-4\times 1296}}{2}
Square 0.
y=\frac{0±\sqrt{-5184}}{2}
Multiply -4 times 1296.
y=\frac{0±72i}{2}
Take the square root of -5184.
y=36i
Now solve the equation y=\frac{0±72i}{2} when ± is plus.
y=-36i
Now solve the equation y=\frac{0±72i}{2} when ± is minus.
y=36i y=-36i
The equation is now solved.
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