What is the answer to 1/2 x-11=3sqrt(x+9)-18 ?

The answer to 1/2 x-11=3sqrt(x+9)-18 is x=16,x=-8

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1/2 x-11=3sqrt(x+9)-18

\frac{1}{2} x - 11 = 3 x + 9 - 18

x = 16, x = - 8

Solution steps

\frac{1}{2} x - 11 = 3 x + 9 - 18

Multiply both sides by

2

\frac{1}{2} x \cdot 2 - 11 \cdot 2 = 3 x + 9 \cdot 2 - 18 \cdot 2

Simplify

x - 22 = 6 x + 9 - 36

Remove square roots

x^{2} + 28 x + 196 = 36 x + 324

Solve

x^{2} + 28 x + 196 = 36 x + 324 : x = 16, x = - 8

x = 16, x = - 8

Verify Solutions:

x = 16

True

, x = - 8

True

The solutions are

x = 16, x = - 8

x \times x + 7 = 6

2 x - 1 = 4

x + 3 + 2 = - 2 x + 6

1 - 4 x = 10

y, x y + 4 = y

What is the answer to 1/2 x-11=3sqrt(x+9)-18 ?
The answer to 1/2 x-11=3sqrt(x+9)-18 is x=16,x=-8
Solve for x: 1/2 x-11=3sqrt(x+9)-18
The solution is x=16,x=-8