What is the answer to 5+sqrt(4x+1)=10+sqrt(6-x) ?

The answer to 5+sqrt(4x+1)=10+sqrt(6-x) is x=6

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5+sqrt(4x+1)=10+sqrt(6-x)

5 + 4 x + 1 = 10 + 6 - x

x = 6

Solution steps

5 + 4 x + 1 = 10 + 6 - x

Remove square roots

25 x^{2} - 300 x + 900 = 600 - 100 x

Solve

25 x^{2} - 300 x + 900 = 600 - 100 x : x = 6, x = 2

x = 6, x = 2

Verify Solutions:

x = 6

True

, x = 2

False

The solution is

x = 6

19 = 120 - 4 q

3 x^{\frac{3}{4}} - 24 = 0

4 x + 14 = 32, x

x = 0.602090757

- 5 w + 34 = w - 4

What is the answer to 5+sqrt(4x+1)=10+sqrt(6-x) ?
The answer to 5+sqrt(4x+1)=10+sqrt(6-x) is x=6
Solve for x: 5+sqrt(4x+1)=10+sqrt(6-x)
The solution is x=6