What is the answer to \sqrt[3]{5sqrt(7x-3)}=5 ?

The answer to \sqrt[3]{5sqrt(7x-3)}=5 is x= 628/7

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\sqrt[3]{5sqrt(7x-3)}=5

x = \frac{628}{7}

Decimal Notation

x = 89.71428 \dots

Solution steps

Take both sides of the equation to the power of

3 : 5 7 x - 3 = 125

5 7 x - 3 = 125

Divide both sides by

5

7 x - 3 = 25

Square both sides:

7 x - 3 = 625

7 x - 3 = 625

Solve

7 x - 3 = 625 : x = \frac{628}{7}

x = \frac{628}{7}

Verify Solutions:

x = \frac{628}{7}

True

The solution is

x = \frac{628}{7}

5 - x + 10 = 9, x

289 - x^{2} + 2 = 10

x + 3 + 5 = 3 4 x + 12

X - 3 = X - 5

x + 6 + x + 1 = 5

What is the answer to \sqrt[3]{5sqrt(7x-3)}=5 ?
The answer to \sqrt[3]{5sqrt(7x-3)}=5 is x= 628/7
Solve for x: \sqrt[3]{5sqrt(7x-3)}=5
The solution is x= 628/7