What is the general solution for solvefor x,-x=2cosx ?

The general solution for solvefor x,-x=2cosx is x\approx-1.02987

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solvefor x,-x=2cosx

solve for

x, - x = 2 cos (x)

x \approx - 1.02987

Degrees

x = - 59.00720 \dots^{\circ}

Solution steps

- x = 2 cos (x)

Switch sides

2 cos (x) = - x

Find the interval where both equation sides share the same range:

- 2 \leq x \leq 2

- 2 \leq x \leq 2

Find the difference function:

2 cos (x) + x

2 cos (x) + x

Extreme points of

2 cos (x) + x

- 2 \leq x \leq 2

(- 2, 2 cos (2) - 2), (\frac{π}{6}, 3 + \frac{π}{6}), (2, 2 cos (2) + 2)

Find the x-axis intersections

x \approx - 1.02987

1.5 x - 4 = 0.5

12 x - 1 = 35

6 x - 3 (24 x - 5) = 2 (3 x + 1) - 8

y, - 2 x + 2 y = 2

y, - 2 x + 2 y = 4

What is the general solution for solvefor x,-x=2cosx ?
The general solution for solvefor x,-x=2cosx is x\approx-1.02987