What is the answer to x-5+2sqrt(x-9)=2+sqrt(4x-36) ?

The answer to x-5+2sqrt(x-9)=2+sqrt(4x-36) is No Solution for x\in\mathbb{R}

Solve for x: x-5+2sqrt(x-9)=2+sqrt(4x-36)

The solution is No Solution for x\in\mathbb{R}

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x - 5 + 2 x - 9 = 2 + 4 x - 36

No Solution for x \in R

Solution steps

x - 5 + 2 x - 9 = 2 + 4 x - 36

Remove square roots

16 x^{3} - 368 x^{2} + 2800 x - 7056 = x^{4} - 28 x^{3} + 294 x^{2} - 1372 x + 2401

Move

x^{2}

to the right side

4 x x - 9 - 10 x - 28 x - 9 + 13 = 4 x - 36 - x^{2}

Move

10 x

to the right side

4 x x - 9 - 28 x - 9 + 13 = - x^{2} + 14 x - 36

Move

13

to the right side

4 x x - 9 - 28 x - 9 = - x^{2} + 14 x - 49

Factor

4 x x - 9 - 28 x - 9 : 4 x - 9 (x - 7)

4 x - 9 (x - 7) = - x^{2} + 14 x - 49

Solve

16 x^{3} - 368 x^{2} + 2800 x - 7056 = x^{4} - 28 x^{3} + 294 x^{2} - 1372 x + 2401 : x = 7, x = 15 + 42, x = 15 - 42

x = 7, x = 15 + 42, x = 15 - 42

Verify Solutions:

x = 7

False

, x = 15 + 42

False

, x = 15 - 42

False

The solution is

No Solution for x \in R

θ, r = 1 - 2 θ

x + 3 - 2 = x

x^{0.7} = x^{0.3}

x^{\frac{1}{10}} = 2

x - 36 - 8 = 0

What is the answer to x-5+2sqrt(x-9)=2+sqrt(4x-36) ?
The answer to x-5+2sqrt(x-9)=2+sqrt(4x-36) is No Solution for x\in\mathbb{R}
Solve for x: x-5+2sqrt(x-9)=2+sqrt(4x-36)
The solution is No Solution for x\in\mathbb{R}