What is the answer to -3+(3-2x)^{5/4}=29 ?

The answer to -3+(3-2x)^{5/4}=29 is x=-13/2

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-3+(3-2x)^{5/4}=29

- 3 + (3 - 2 x)^{\frac{5}{4}} = 29

x = - \frac{13}{2}

Decimal Notation

x = - 6.5

Solution steps

- 3 + (3 - 2 x)^{\frac{5}{4}} = 29

Move

3

to the right side

(3 - 2 x)^{\frac{5}{4}} = 32

Take both sides of the equation to the power of

\frac{4}{5} : (3 - 2 x) = 16

(3 - 2 x) = 16

Solve

(3 - 2 x) = 16 : x = - \frac{13}{2}

x = - \frac{13}{2}

Verify Solutions:

x = - \frac{13}{2}

True

The solution is

x = - \frac{13}{2}

a^{2} = 17

5 x - 19 - 5 x = - 1

1 - x^{2} = x

x^{2} + 5 = x + 3

(6 x - 3)^{\frac{2}{3}} + 6 = 15

What is the answer to -3+(3-2x)^{5/4}=29 ?
The answer to -3+(3-2x)^{5/4}=29 is x=-13/2
Solve for x: -3+(3-2x)^{5/4}=29
The solution is x=-13/2