What is the answer to 3sqrt(2x-3)+2sqrt(7-x)=11 ?

The answer to 3sqrt(2x-3)+2sqrt(7-x)=11 is x=6

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3sqrt(2x-3)+2sqrt(7-x)=11

3 2 x - 3 + 2 7 - x = 11

x = 6

Solution steps

3 2 x - 3 + 2 7 - x = 11

Remove square roots

484 x^{2} - 7744 x + 30976 = - 1936 x + 13552

Solve

484 x^{2} - 7744 x + 30976 = - 1936 x + 13552 : x = 6

x = 6

Verify Solutions:

x = 6

True

The solution is

x = 6

x^{\frac{3}{2}} = 64

2 x - 5 = x + 4

x^{2} - 2 x + 1 = 9 - x

x + 8 = x - 4

16 - x^{2} - x = - 4

What is the answer to 3sqrt(2x-3)+2sqrt(7-x)=11 ?
The answer to 3sqrt(2x-3)+2sqrt(7-x)=11 is x=6
Solve for x: 3sqrt(2x-3)+2sqrt(7-x)=11
The solution is x=6