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Beliebt Algebra >

(x^2+3x-20)/((x^2+3x))=8

Lösung

\frac{x ^{2} + 3 x - 20}{( x ^{2} + 3 x )} = 8

Lösung

x = - \frac{3}{2} - i \frac{119}{14}, x = - \frac{3}{2} + i \frac{119}{14}

Schritte zur Lösung

\frac{x ^{2} + 3 x - 20}{( x ^{2} + 3 x )} = 8

Vereinfache

\frac{x ^{2} + 3 x - 20}{( x ^{2} + 3 x )} : \frac{x ^{2} + 3 x - 20}{x ^{2} + 3 x}

\frac{x ^{2} + 3 x - 20}{x ^{2} + 3 x} = 8

Multipliziere beide Seiten mit

x^{2} + 3 x

x^{2} + 3 x - 20 = 8 (x^{2} + 3 x)

Löse

x^{2} + 3 x - 20 = 8 (x^{2} + 3 x) : x = - \frac{3}{2} - i \frac{119}{14}, x = - \frac{3}{2} + i \frac{119}{14}

x = - \frac{3}{2} - i \frac{119}{14}, x = - \frac{3}{2} + i \frac{119}{14}

Graph

Beliebte Beispiele

(a^3x*a^4x)/((a^3x)2)=4a

\frac{a ^{3} x \cdot a ^{4} x}{( a ^{3} x ) 2} = 4 a

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

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

(98/9)/y = 38/27

\frac{\frac{98}{9}}{y} = \frac{38}{27}

2((x^2+1}{(x^2)})-3(\frac{x+1)/x)=1

2 (\frac{x ^{2} + 1}{( x ^{2} )}) - 3 (\frac{x + 1}{x}) = 1

((0.3+0.7y))/y =0.85

\frac{( 0.3 + 0.7 y )}{y} = 0.85