What is the general solution for cos^2(x)+5cos(x)-6=0 ?

The general solution for cos^2(x)+5cos(x)-6=0 is x=2pin

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cos^2(x)+5cos(x)-6=0

cos^{2} (x) + 5 cos (x) - 6 = 0

x = 2 πn

Solution steps

cos^{2} (x) + 5 cos (x) - 6 = 0

Solve by substitution

cos (x) = 1, cos (x) = - 6

cos (x) = 1 : x = 2 πn

cos (x) = - 6 :

No Solution

Combine all the solutions

x = 2 πn

10 sin (x) = 4 cos^{2} (x) + 2

- 4 + sin (- 3 x + \frac{2 π}{3}) = - 4

2 \cdot sin (x) \cdot cos (x) = cos (x)

sin (2 θ) = \frac{- 2 6}{7}

x, sin (x) = - \frac{7}{25}

What is the general solution for cos^2(x)+5cos(x)-6=0 ?
The general solution for cos^2(x)+5cos(x)-6=0 is x=2pin