What is the general solution for solvefor x,cos^2(x+xy)= 3/2 ?

The general solution for solvefor x,cos^2(x+xy)= 3/2 is No Solution for x\in\mathbb{R}

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solvefor x,cos^2(x+xy)= 3/2

solve for

x, cos^{2} (x + x y) = \frac{3}{2}

No Solution for x \in R

Solution steps

cos^{2} (x + x y) = \frac{3}{2}

Solve by substitution

cos^{2} (x + x y) = \frac{3}{2}

Let:

cos (x + x y) = u

u^{2} = \frac{3}{2}

u^{2} = \frac{3}{2} : u = \frac{3}{2}, u = - \frac{3}{2}

u^{2} = \frac{3}{2}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

u = \frac{3}{2}, u = - \frac{3}{2}

Substitute back

u = cos (x + x y)

cos (x + x y) = \frac{3}{2}, cos (x + x y) = - \frac{3}{2}

cos (x + x y) = \frac{3}{2}, cos (x + x y) = - \frac{3}{2}

cos (x + x y) = \frac{3}{2} :

No Solution

cos (x + x y) = \frac{3}{2}

- 1 \leq cos (x) \leq 1

No Solution

cos (x + x y) = - \frac{3}{2} :

No Solution

cos (x + x y) = - \frac{3}{2}

- 1 \leq cos (x) \leq 1

No Solution

Combine all the solutions

No Solution for x \in R

sin (o) = \frac{3}{5}

a cos (x) = cos (x)

4674.04 = \frac{5}{3 cos ( x )} \cdot 2804.42

sin (A) + 3 cos (A) = 0

x, 3 cot (x) - 1 = 0

What is the general solution for solvefor x,cos^2(x+xy)= 3/2 ?
The general solution for solvefor x,cos^2(x+xy)= 3/2 is No Solution for x\in\mathbb{R}