asqrt(x^2+d)+b=c

Lösung

a x^{2} + d + b = c

x = \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}, x = - \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}

Schritte zur Lösung

a x^{2} + d + b = c

Verschiebe

b

auf die rechte Seite

a x^{2} + d = c - b

Teile beide Seiten durch

a

x^{2} + d = \frac{c - b}{a}

Quadriere beide Seiten:

x^{2} + d = \frac{c ^{2}}{a ^{2}} - \frac{2 b c}{a ^{2}} + \frac{b ^{2}}{a ^{2}}

x^{2} + d = \frac{c ^{2}}{a ^{2}} - \frac{2 b c}{a ^{2}} + \frac{b ^{2}}{a ^{2}}

Löse

x^{2} + d = \frac{c ^{2}}{a ^{2}} - \frac{2 b c}{a ^{2}} + \frac{b ^{2}}{a ^{2}} : x = \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}, x = - \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}

x = \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}, x = - \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}

x = 2 x

3 x - 4 - x = 3

\frac{53 + 5 z}{7} = 2

- x + 1.7 = 11.7

x^{3} d e x = 1, a x = 4, y = 4