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Beliebt Algebra >

x^2+x= 2/(x^2+x+1)

Lösung

x^{2} + x = \frac{2}{x ^{2} + x + 1}

Lösung

x = \frac{5 - 1}{2}, x = - \frac{5 + 1}{2}

+1

Dezimale

x = 0.61803 \dots, x = - 1.61803 \dots

Schritte zur Lösung

x^{2} + x = \frac{2}{x ^{2} + x + 1}

Multipliziere beide Seiten mit

x^{2} + x + 1

x^{2} (x^{2} + x + 1) + x (x^{2} + x + 1) = 2

Löse

x^{2} (x^{2} + x + 1) + x (x^{2} + x + 1) = 2 : x = \frac{5 - 1}{2}, x = - \frac{5 + 1}{2}

x = \frac{5 - 1}{2}, x = - \frac{5 + 1}{2}

Graph

Beliebte Beispiele

((1.2-n))/((1-n))=1.4

\frac{( 1.2 - n )}{( 1 - n )} = 1.4

((x-3))/x =((x+3))/((x+8))

\frac{( x - 3 )}{x} = \frac{( x + 3 )}{( x + 8 )}

(2x+4)/(5x)=23x-6

\frac{2 x + 4}{5 x} = 23 x - 6

((0.5(x^5)))/((5x^3-2x^2+3x+7))=5

\frac{( 0.5 ( x ^{5} ) )}{( 5 x ^{3} - 2 x ^{2} + 3 x + 7 )} = 5

((5x)/(4x))+2x=6

(\frac{5 x}{4 x}) + 2 x = 6