xsqrt(225-4x^2)=50

Lösung

x 225 - 4 x^{2} = 50

x = \frac{5 9 - 17}{2 2}, x = \frac{5 9 + 17}{2 2}

Dezimale

x = 3.90388 \dots, x = 6.40388 \dots

Schritte zur Lösung

x 225 - 4 x^{2} = 50

Quadriere beide Seiten:

225 x^{2} - 4 x^{4} = 2500

225 x^{2} - 4 x^{4} = 2500

Löse

225 x^{2} - 4 x^{4} = 2500 : x = \frac{5 9 - 17}{2 2}, x = - \frac{5 9 - 17}{2 2}, x = \frac{5 9 + 17}{2 2}, x = - \frac{5 9 + 17}{2 2}

x = \frac{5 9 - 17}{2 2}, x = - \frac{5 9 - 17}{2 2}, x = \frac{5 9 + 17}{2 2}, x = - \frac{5 9 + 17}{2 2}

Überprüfe die Lösungen:

x = \frac{5 9 - 17}{2 2}

Wahr

, x = - \frac{5 9 - 17}{2 2}

Falsch

, x = \frac{5 9 + 17}{2 2}

Wahr

, x = - \frac{5 9 + 17}{2 2}

Falsch

Die Lösungen sind

x = \frac{5 9 - 17}{2 2}, x = \frac{5 9 + 17}{2 2}

3 x + 1 = 18

x - x^{3} = 0

x^{\frac{3}{2}} + 50 (16) = 1000

x^{2} - 8 x = 0

(x^{2} - 45)^{\frac{1}{2}} = 2