y = 3 [ x ^ { 2 } - 4 ) + 3
Solve for y
y=3\left(x^{2}-3\right)
Solve for x (complex solution)
x=-\frac{\sqrt{3\left(y+9\right)}}{3}
x=\frac{\sqrt{3\left(y+9\right)}}{3}
Solve for x
x=\frac{\sqrt{3\left(y+9\right)}}{3}
x=-\frac{\sqrt{3\left(y+9\right)}}{3}\text{, }y\geq -9
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y=3x^{2}-12+3
Use the distributive property to multiply 3 by x^{2}-4.
y=3x^{2}-9
Add -12 and 3 to get -9.
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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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