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Beliebt Algebra >

solvefor x,r+s-2t=(2x+y)^{1/2}

Lösung

löse nach

x, r + s - 2 t = (2 x + y)^{\frac{1}{2}}

Lösung

x = \frac{2 rs - 4 r t + r ^{2} + s ^{2} - 4 s t + 4 t ^{2} - y}{2}

Schritte zur Lösung

r + s - 2 t = (2 x + y)^{\frac{1}{2}}

Quadriere beide Seiten:

2 rs - 4 r t + r^{2} + s^{2} - 4 s t + 4 t^{2} = 2 x + y

2 rs - 4 r t + r^{2} + s^{2} - 4 s t + 4 t^{2} = 2 x + y

Löse

2 rs - 4 r t + r^{2} + s^{2} - 4 s t + 4 t^{2} = 2 x + y : x = \frac{2 rs - 4 r t + r ^{2} + s ^{2} - 4 s t + 4 t ^{2} - y}{2}

x = \frac{2 rs - 4 r t + r ^{2} + s ^{2} - 4 s t + 4 t ^{2} - y}{2}

Graph

Beliebte Beispiele

sqrt(x+4)+3=sqrt(5x+11)

x + 4 + 3 = 5 x + 11

sqrt(4x+1)+sqrt(x+2)=1

4 x + 1 + x + 2 = 1

t^{0.4} = 2 + 25 t

(q)=20+2q-sqrt(q^2-80)

(q) = 20 + 2 q - q^{2} - 80

x+3=4-sqrt(5x+1)

x + 3 = 4 - 5 x + 1