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 No Solution for x\in\mathbb{R}

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

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

No Solution for x \in R

Solution steps

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

Solve by substitution

cos (x) = 3, cos (x) = 2

cos (x) = 3 :

No Solution

cos (x) = 2 :

No Solution

Combine all the solutions

No Solution for x \in R

cot^{2} (\frac{x}{2}) = 3, 0, 0 \leq x \leq 360

2 sin^{2} (x) + 5 sin (x) - 3 = 0, 0 \leq x \leq 2 π

sin (x) = \frac{123 sin ( 7 0 ^{\circ} )}{184.5}

cot^{2} (θ) = cot (θ), 0 \leq θ \leq 2 π

cos (x) = \frac{9}{19}

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 No Solution for x\in\mathbb{R}