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

The answer to sqrt(6x+1)-sqrt(x-4)=5 is x=8,x=4

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

6 x + 1 - x - 4 = 5

x = 8, x = 4

Solution steps

6 x + 1 - x - 4 = 5

Remove square roots

25 x^{2} - 200 x + 400 = 100 x - 400

Solve

25 x^{2} - 200 x + 400 = 100 x - 400 : x = 8, x = 4

x = 8, x = 4

Verify Solutions:

x = 8

True

, x = 4

True

The solutions are

x = 8, x = 4

x = - \frac{1}{8} x^{2} + 4

c - 4 + 2 c + 8 = 16

12 - n = 2 n - 12

8 - x^{2} = 3 x - 4

(x - 1) (x - 3) + 4 = x - 1

What is the answer to sqrt(6x+1)-sqrt(x-4)=5 ?
The answer to sqrt(6x+1)-sqrt(x-4)=5 is x=8,x=4
Solve for x: sqrt(6x+1)-sqrt(x-4)=5
The solution is x=8,x=4