Solve for y
y=-5\left(x-6\right)^{2}+3
Solve for x (complex solution)
x=-\frac{\sqrt{15-5y}}{5}+6
x=\frac{\sqrt{15-5y}}{5}+6
Solve for x
x=-\frac{\sqrt{15-5y}}{5}+6
x=\frac{\sqrt{15-5y}}{5}+6\text{, }y\leq 3
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y=-5\left(x^{2}-12x+36\right)+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
y=-5x^{2}+60x-180+3
Use the distributive property to multiply -5 by x^{2}-12x+36.
y=-5x^{2}+60x-177
Add -180 and 3 to get -177.
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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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