Übung
$\left(x^2+2y^2\:\right)^3=cx^2$
Schritt-für-Schritt-Lösung
Learn how to solve gleichungen problems step by step online. Solve the equation (x^2+2y^2)^3=cx^2. Wenden Sie die Formel an: x^a=b\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}, wobei a=3, b=cx^2, x^a=b=\left(x^2+2y^2\right)^3=cx^2, x=x^2+2y^2 und x^a=\left(x^2+2y^2\right)^3. Wenden Sie die Formel an: \left(ab\right)^n=a^nb^n. Simplify \sqrt[3]{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}. Wenden Sie die Formel an: x+a=b\to x=b-a, wobei a=x^2, b=\sqrt[3]{c}\sqrt[3]{x^{2}}, x+a=b=x^2+2y^2=\sqrt[3]{c}\sqrt[3]{x^{2}}, x=2y^2 und x+a=x^2+2y^2.
Solve the equation (x^2+2y^2)^3=cx^2
Endgültige Antwort auf das Problem
$y=\frac{\sqrt{\sqrt[3]{c}\sqrt[3]{x^{2}}-x^2}}{\sqrt{2}},\:y=\frac{-\sqrt{\sqrt[3]{c}\sqrt[3]{x^{2}}-x^2}}{\sqrt{2}}$