What is the answer to (x^2+5)(sqrt(x+2))=x ?

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

Solve for x: (x^2+5)(sqrt(x+2))=x

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

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(x^{2} + 5) (x + 2) = x

No Solution for x \in R

Solution steps

(x^{2} + 5) (x + 2) = x

Expand

(x^{2} + 5) x + 2 : x + 2 x^{2} + 5 x + 2

x + 2 x^{2} + 5 x + 2 = x

Factor

x + 2 x^{2} + 5 x + 2 : (x^{2} + 5) x + 2

(x^{2} + 5) x + 2 = x

Square both sides:

x^{5} + 2 x^{4} + 10 x^{3} + 20 x^{2} + 25 x + 50 = x^{2}

x^{5} + 2 x^{4} + 10 x^{3} + 20 x^{2} + 25 x + 50 = x^{2}

Solve

x^{5} + 2 x^{4} + 10 x^{3} + 20 x^{2} + 25 x + 50 = x^{2} : x \approx - 1.95091 \dots

x \approx - 1.95091 \dots

Verify Solutions:

x \approx - 1.95091 \dots

False

The solution is

No Solution for x \in R

x^{5} + x^{2} = π

7 t + 2 = - 4

x^{3} - 2 = 5

x^{\frac{7}{5}} = 2187

x + 3 = 2.8

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