(m-2)x^2-(m+7)x+2(9m+1)=0

Lösung

(m - 2) x^{2} - (m + 7) x + 2 (9 m + 1) = 0

x = \frac{m + 7 + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}, x = \frac{m + 7 - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}; m \neq = 2

Schritte zur Lösung

(m - 2) x^{2} - (m + 7) x + 2 (9 m + 1) = 0

Schreibe

(m - 2) x^{2} - (m + 7) x + 2 (9 m + 1)

um:

m x^{2} - 2 x^{2} - m x - 7 x + 18 m + 2

m x^{2} - 2 x^{2} - m x - 7 x + 18 m + 2 = 0

Schreibe in der Standard Form

a x^{2} + b x + c = 0

(m - 2) x^{2} - (m + 7) x + 18 m + 2 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- ( - m - 7 ) \pm ( - m - 7 ) ^{2} - 4 ( m - 2 ) ( 18 m + 2 )}{2 ( m - 2 )}

Vereinfache

(- m - 7)^{2} - 4 (m - 2) (18 m + 2) : - 71 m^{2} + 150 m + 65

x_{1, 2} = \frac{- ( - m - 7 ) \pm - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}; m \neq = 2

Trenne die Lösungen

x_{1} = \frac{- ( - m - 7 ) + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}, x_{2} = \frac{- ( - m - 7 ) - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}

x = \frac{- ( - m - 7 ) + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )} : \frac{m + 7 + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}

x = \frac{- ( - m - 7 ) - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )} : \frac{m + 7 - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}

Die Lösungen für die quadratische Gleichung sind:

x = \frac{m + 7 + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}, x = \frac{m + 7 - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}; m \neq = 2

6 a^{2} + 10 = 60 + 4 a^{2}

q u a d r a t i c f or m u l a x^{2} + 2 x - 15 = 0

(s + 4)^{2} = 0

(x - 4)^{2} + (x - 3)^{2} = 25

V = \frac{0.005}{2} (1000) (6.5 - V - 0.5)^{2}