What is the answer to (2y-3)^{1/4}+1=4 ?

The answer to (2y-3)^{1/4}+1=4 is y=42

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(2y-3)^{1/4}+1=4

(2 y - 3)^{\frac{1}{4}} + 1 = 4

y = 42

Solution steps

(2 y - 3)^{\frac{1}{4}} + 1 = 4

Move

1

to the right side

(2 y - 3)^{\frac{1}{4}} = 3

Take both sides of the equation to the power of

4 : 2 y - 3 = 81

2 y - 3 = 81

Solve

2 y - 3 = 81 : y = 42

y = 42

Verify Solutions:

y = 42

True

The solution is

y = 42

3 - 2 x + 3 = 2 x

\frac{1}{3} x^{\frac{5}{2}} - 39 = 42

\frac{19 x ^{2} - 20 x + 1}{9 x ^{\frac{8}{9}}} = 0

2 x + 3 = 6

4 = x - x + 2