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Beliebt Algebra >

(x^2+1)/(x^2-(x+1/4)-1)=0

Lösung

\frac{x ^{2} + 1}{x ^{2} - ( x + \frac{1}{4} ) - 1} = 0

Lösung

x = i, x = - i

Schritte zur Lösung

\frac{x ^{2} + 1}{x ^{2} - ( x + \frac{1}{4} ) - 1} = 0

Vereinfache

\frac{x ^{2} + 1}{x ^{2} - ( x + \frac{1}{4} ) - 1} : \frac{4 ( x ^{2} + 1 )}{4 x ^{2} - 4 x - 5}

\frac{4 ( x ^{2} + 1 )}{4 x ^{2} - 4 x - 5} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

4 (x^{2} + 1) = 0

Löse

4 (x^{2} + 1) = 0 : x = i, x = - i

x = i, x = - i

Graph

Beliebte Beispiele

(0.5)/(600)=(0.1)/(t^2)

\frac{0.5}{600} = \frac{0.1}{t ^{2}}

solvefor x, 1/x-1/y = 1/z

so l v e f or x, \frac{1}{x} - \frac{1}{y} = \frac{1}{z}

solvefor x,f(x)^{-1}=-4

so l v e f or x, f (x)^{- 1} = - 4

(x^2-x)= 1/(2*(x-7+9x^2))

(x^{2} - x) = \frac{1}{2 \cdot ( x - 7 + 9 x ^{2} )}

(40000000)/((x-200))=100000

\frac{40000000}{( x - 200 )} = 100000