vereinfachen (sqrt((x-0.0929)^2+(y+2.7213)^2)-6)^2

Lösung

vereinfachen

((x - 0.0929)^{2} + (y + 2.7213)^{2} - 6)^{2}

x^{2} - 0.1858 x + y^{2} + 5.4426 y - 12 x^{2} - 0.1858 x + y^{2} + 5.4426 y + 7.4141041 + 43.4141041

Schritte zur Lösung

((x - 0.0929)^{2} + (y + 2.7213)^{2} - 6)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

((x - 0.0929)^{2} + (y + 2.7213)^{2} - 6)^{2} = ((x - 0.0929)^{2} + (y + 2.7213)^{2})^{2} - 2 (x - 0.0929)^{2} + (y + 2.7213)^{2} \cdot 6 + 6^{2}

= ((x - 0.0929)^{2} + (y + 2.7213)^{2})^{2} - 2 (x - 0.0929)^{2} + (y + 2.7213)^{2} \cdot 6 + 6^{2}

Vereinfache

((x - 0.0929)^{2} + (y + 2.7213)^{2})^{2} - 2 (x - 0.0929)^{2} + (y + 2.7213)^{2} \cdot 6 + 6^{2} : x^{2} - 0.1858 x + y^{2} + 5.4426 y - 12 x^{2} - 0.1858 x + y^{2} + 5.4426 y + 7.4141041 + 43.4141041

= x^{2} - 0.1858 x + y^{2} + 5.4426 y - 12 x^{2} - 0.1858 x + y^{2} + 5.4426 y + 7.4141041 + 43.4141041

s im pl i f y 463 + 228

s im pl i f y \frac{1}{2} \cdot x^{- \frac{1}{2}}

s im pl i f y \frac{csc ( x )}{cot ( x ) sec ( x )}

e x p an d (2 x^{2} - 3 x + 1) (x^{2} - 4 x - 3)

s im pl i f y (a + b)^{- 2}