What is the answer to (7x+1)^{3/2}+6=222 ?

The answer to (7x+1)^{3/2}+6=222 is x=5

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(7x+1)^{3/2}+6=222

(7 x + 1)^{\frac{3}{2}} + 6 = 222

x = 5

Solution steps

(7 x + 1)^{\frac{3}{2}} + 6 = 222

Move

6

to the right side

(7 x + 1)^{\frac{3}{2}} = 216

Take both sides of the equation to the power of

2 : (7 x + 1)^{3} = 46656

(7 x + 1)^{3} = 46656

Solve

(7 x + 1)^{3} = 46656 : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

3 x + 36 + 6 = x

(x - 2)^{\frac{2}{3}} = 81

x^{2} - 2 x + x = 0

35 \cdot x^{\frac{2}{3}} = 77

2 + 2 x - 3 = x + 7

What is the answer to (7x+1)^{3/2}+6=222 ?
The answer to (7x+1)^{3/2}+6=222 is x=5
Solve for x: (7x+1)^{3/2}+6=222
The solution is x=5