What is the answer to sqrt(x+6)+sqrt(x+11)=sqrt(5-10x) ?

The answer to sqrt(x+6)+sqrt(x+11)=sqrt(5-10x) is x=-2

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sqrt(x+6)+sqrt(x+11)=sqrt(5-10x)

x + 6 + x + 11 = 5 - 10 x

x = - 2

Solution steps

x + 6 + x + 11 = 5 - 10 x

Remove square roots

4 x^{2} + 68 x + 264 = 144 x^{2} + 288 x + 144

Solve

4 x^{2} + 68 x + 264 = 144 x^{2} + 288 x + 144 : x = - 2, x = \frac{3}{7}

x = - 2, x = \frac{3}{7}

Verify Solutions:

x = - 2

True

, x = \frac{3}{7}

False

The solution is

x = - 2

k, Y = 10 \cdot 2 k^{0.5} k^{0.4}

x x - 1 + x x - 1 = 4

\frac{1}{x + 5} = - 2 x

x + 2 - x - 4 = 0

1222 n - 1222 n - 1 = 159

What is the answer to sqrt(x+6)+sqrt(x+11)=sqrt(5-10x) ?
The answer to sqrt(x+6)+sqrt(x+11)=sqrt(5-10x) is x=-2
Solve for x: sqrt(x+6)+sqrt(x+11)=sqrt(5-10x)
The solution is x=-2