Solve for y
y=-2\left(x+3\right)^{2}-5
Solve for x (complex solution)
x=-\frac{\sqrt{-2y-10}}{2}-3
x=\frac{\sqrt{-2y-10}}{2}-3
Solve for x
x=-\frac{\sqrt{-2y-10}}{2}-3
x=\frac{\sqrt{-2y-10}}{2}-3\text{, }y\leq -5
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y=-2\left(x^{2}+6x+9\right)-5
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
y=-2x^{2}-12x-18-5
Use the distributive property to multiply -2 by x^{2}+6x+9.
y=-2x^{2}-12x-23
Subtract 5 from -18 to get -23.
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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