Algebra InputsTrigonometry InputsCalculus InputsMatrix Inputs Basic algebra trigonometry calculus statistics matrices CharactersSolve for g \left\{\begin{matrix}g=\frac{2x^{\frac{3}{2}}-1}{\sqrt{x}y}\text{, }&y\neq 0\text{ and }x>0\\g\in \mathrm{R}\text{, }&\left(x=\frac{\sqrt[3]{2}}{2}\text{ and }y=0\right)\text{ or }x=0\end{matrix}\right.View solution stepsSteps for Solving Linear Equation f ( x ) = 2 x ^ { 2 } - 1 y g ( x ) = \sqrt { x } Subtract 2x^{2} from both sides. -ygx=\sqrt{x}-2x^{2} The equation is in standard form. \left(-xy\right)g=-2x^{2}+\sqrt{x} Divide both sides by -yx. \frac{\left(-xy\right)g}{-xy}=\frac{-2x^{2}+\sqrt{x}}{-xy} Dividing by -yx undoes the multiplication by -yx. g=\frac{-2x^{2}+\sqrt{x}}{-xy} Divide \sqrt{x}-2x^{2} by -yx. g=\frac{2x-\frac{1}{\sqrt{x}}}{y} GraphQuizLinear Equation5 problems similar to: f ( x ) = 2 x ^ { 2 } - 1 y g ( x ) = \sqrt { x }
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CopyCopied to clipboard-ygx=\sqrt{x}-2x^{2} Subtract 2x^{2} from both sides.\left(-xy\right)g=-2x^{2}+\sqrt{x} The equation is in standard form.\frac{\left(-xy\right)g}{-xy}=\frac{-2x^{2}+\sqrt{x}}{-xy} Divide both sides by -yx.g=\frac{-2x^{2}+\sqrt{x}}{-xy} Dividing by -yx undoes the multiplication by -yx.g=\frac{2x-\frac{1}{\sqrt{x}}}{y} Divide \sqrt{x}-2x^{2} by -yx.
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Quadratic equation { x } ^ { 2 } - 4 x - 5 = 0Trigonometry 4 \sin \theta \cos \theta = 2 \sin \thetaLinear equation y = 3x + 4Arithmetic 699 * 533Matrix \left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]Simultaneous equation \left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.Differentiation \frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }Integration \int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d xLimits \lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}Back to top
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View solution stepsSteps for Solving Linear Equation f ( x ) = 2 x ^ { 2 } - 1 y g ( x ) = \sqrt { x } Subtract 2x^{2} from both sides. -ygx=\sqrt{x}-2x^{2} The equation is in standard form. \left(-xy\right)g=-2x^{2}+\sqrt{x} Divide both sides by -yx. \frac{\left(-xy\right)g}{-xy}=\frac{-2x^{2}+\sqrt{x}}{-xy} Dividing by -yx undoes the multiplication by -yx. g=\frac{-2x^{2}+\sqrt{x}}{-xy} Divide \sqrt{x}-2x^{2} by -yx. g=\frac{2x-\frac{1}{\sqrt{x}}}{y} GraphQuizLinear Equation5 problems similar to: f ( x ) = 2 x ^ { 2 } - 1 y g ( x ) = \sqrt { x }
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