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Beliebt Algebra >

2x^2<7x+15

Lösung

2 x^{2} < 7 x + 15

Lösung

- \frac{3}{2} < x < 5

+2

Intervall-Notation

(- \frac{3}{2}, 5)

Dezimale

- 1.5 < x < 5

Schritte zur Lösung

2 x^{2} < 7 x + 15

Rewrite in standard form

2 x^{2} - 15 - 7 x < 0

Faktorisiere

2 x^{2} - 15 - 7 x : (2 x + 3) (x - 5)

(2 x + 3) (x - 5) < 0

Identifiziere die Intervalle

- \frac{3}{2} < x < 5

Graph

Beliebte Beispiele

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

\frac{3}{2} = \frac{k}{18}

1/3 (12+x)=-8(6-x)

\frac{1}{3} (12 + x) = - 8 (6 - x)

x + 1 0^{2} - x^{2} = 50

7x^2+3x>= 5x^2+2

7 x^{2} + 3 x \geq 5 x^{2} + 2