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Beliebt Algebra >

[(x-1)^2-(x+1)^2]^2=(4x-3)^2

Lösung

[(x - 1)^{2} - (x + 1)^{2}]^{2} = (4 x - 3)^{2}

Lösung

x = \frac{3}{8}

+1

Dezimale

x = 0.375

Schritte zur Lösung

[(x - 1)^{2} - (x + 1)^{2}]^{2} = (4 x - 3)^{2}

Schreibe

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

um:

16 x^{2}

Schreibe

(4 x - 3)^{2}

um:

16 x^{2} - 24 x + 9

16 x^{2} = 16 x^{2} - 24 x + 9

Subtrahiere

16 x^{2} - 24 x

von beiden Seiten

16 x^{2} - (16 x^{2} - 24 x) = 16 x^{2} - 24 x + 9 - (16 x^{2} - 24 x)

Vereinfache

24 x = 9

Teile beide Seiten durch

24

x = \frac{3}{8}

Graph

Beliebte Beispiele

solvefor x,3x+5y=405^2

so l v e f or x, 3 x + 5 y = 40 5^{2}

17 x - 5 = 2 x

2 (12 + x) = 41 + x

solvefor x,(y-5)=2[x-(-3)]

so l v e f or x, (y - 5) = 2 [x - (- 3)]

solvefor x,2x+10=2y-8

so l v e f or x, 2 x + 10 = 2 y - 8