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Beliebt Algebra >

-(a/2)^2+3(-a/2)+1=0

Lösung

- (\frac{a}{2})^{2} + 3 (- \frac{a}{2}) + 1 = 0

Lösung

a = - 3 - 13, a = 13 - 3

+1

Dezimale

a = - 6.60555 \dots, a = 0.60555 \dots

Schritte zur Lösung

- (\frac{a}{2})^{2} + 3 (- \frac{a}{2}) + 1 = 0

Schreibe

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

um:

- \frac{a ^{2}}{4} - \frac{3 a}{2} + 1

- \frac{a ^{2}}{4} - \frac{3 a}{2} + 1 = 0

Löse mit der quadratischen Formel

a_{1, 2} = \frac{- ( - \frac{3}{2} ) \pm ( - \frac{3}{2} ) ^{2} - 4 ( - \frac{1}{4} ) \cdot 1}{2 ( - \frac{1}{4} )}

(- \frac{3}{2})^{2} - 4 (- \frac{1}{4}) \cdot 1 = \frac{13}{2}

a_{1, 2} = \frac{- ( - \frac{3}{2} ) \pm \frac{13}{2}}{2 ( - \frac{1}{4} )}

Trenne die Lösungen

a_{1} = \frac{- ( - \frac{3}{2} ) + \frac{13}{2}}{2 ( - \frac{1}{4} )}, a_{2} = \frac{- ( - \frac{3}{2} ) - \frac{13}{2}}{2 ( - \frac{1}{4} )}

a = \frac{- ( - \frac{3}{2} ) + \frac{13}{2}}{2 ( - \frac{1}{4} )} : - 3 - 13

a = \frac{- ( - \frac{3}{2} ) - \frac{13}{2}}{2 ( - \frac{1}{4} )} : 13 - 3

Die Lösungen für die quadratische Gleichung sind:

a = - 3 - 13, a = 13 - 3

Graph

Beliebte Beispiele

(2x-2.4)^2= 5/12

(2 x - 2.4)^{2} = \frac{5}{12}

solvefor x,22f^{22}f(2x)+f(1-2x)=12x^2

so l v e f or x, 22 f^{22} f (2 x) + f (1 - 2 x) = 12 x^{2}

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

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

solvefor y,5x^3y^2-2x^2=9xy+2

so l v e f or y, 5 x^{3} y^{2} - 2 x^{2} = 9 x y + 2

solvefor x,x^2=2t^2+6t

so l v e f or x, x^{2} = 2 t^{2} + 6 t