What is the answer to 2sqrt(2x-1)=8-\sqrt[3]{x+3} ?

The answer to 2sqrt(2x-1)=8-\sqrt[3]{x+3} is x=5

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2sqrt(2x-1)=8-\sqrt[3]{x+3}

x = 5

Solution steps

Rewrite the equation with

and

x = u^{3} - 3

2 2 (u^{3} - 3) - 1 = 8 - u

Solve

2 2 (u^{3} - 3) - 1 = 8 - u : u = 2

u = 2

Substitute back

solve for

x

Solve

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

25 x = 100

1 - 4 x - 2 3 + x = 3 + x

y, x y = 1

x^{2} + 3 = 2 x - 1

x + x + x + x = 2

What is the answer to 2sqrt(2x-1)=8-\sqrt[3]{x+3} ?
The answer to 2sqrt(2x-1)=8-\sqrt[3]{x+3} is x=5
Solve for x: 2sqrt(2x-1)=8-\sqrt[3]{x+3}
The solution is x=5