What is the answer to sqrt(1-8x)=5+sqrt(3x+9) ?

The answer to sqrt(1-8x)=5+sqrt(3x+9) is x=-3

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sqrt(1-8x)=5+sqrt(3x+9)

1 - 8 x = 5 + 3 x + 9

x = - 3

Solution steps

1 - 8 x = 5 + 3 x + 9

Remove square roots

121 x^{2} + 726 x + 1089 = 300 x + 900

Solve

121 x^{2} + 726 x + 1089 = 300 x + 900 : x = - \frac{63}{121}, x = - 3

x = - \frac{63}{121}, x = - 3

Verify Solutions:

x = - \frac{63}{121}

False

, x = - 3

True

The solution is

x = - 3

9 x - 9 - 3 = 0

0 = 3 - \frac{3 x - 1}{2}

36 + d^{2} = 0

What is the answer to sqrt(1-8x)=5+sqrt(3x+9) ?
The answer to sqrt(1-8x)=5+sqrt(3x+9) is x=-3
Solve for x: sqrt(1-8x)=5+sqrt(3x+9)
The solution is x=-3