Ax+Bsqrt(x)-C=0

Lösung

A x + B x - C = 0

x = \frac{2 A C + B ^{2} + B 4 A C + B ^{2}}{2 A ^{2}}, x = \frac{2 A C + B ^{2} - B 4 A C + B ^{2}}{2 A ^{2}}

Schritte zur Lösung

A x + B x - C = 0

Quadratwurzeln entfernen

B^{2} x = A^{2} x^{2} - 2 A C x + C^{2}

Löse

B^{2} x = A^{2} x^{2} - 2 A C x + C^{2} : x = \frac{2 A C + B ^{2} + B 4 A C + B ^{2}}{2 A ^{2}}, x = \frac{2 A C + B ^{2} - B 4 A C + B ^{2}}{2 A ^{2}}

x = \frac{2 A C + B ^{2} + B 4 A C + B ^{2}}{2 A ^{2}}, x = \frac{2 A C + B ^{2} - B 4 A C + B ^{2}}{2 A ^{2}}

so l v e f or y, y^{\frac{2}{3}} = x

\frac{x}{4} = 2 x - 15

(- 3 x + 18)^{\frac{1}{2}} = x

x = 3 x + 1

4 (x - 1)^{\frac{2}{3}} = 0