What is the answer to sqrt(x-1)+sqrt(6-x)=3 ?

The answer to sqrt(x-1)+sqrt(6-x)=3 is x=5,x=2

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sqrt(x-1)+sqrt(6-x)=3

x - 1 + 6 - x = 3

x = 5, x = 2

Solution steps

x - 1 + 6 - x = 3

Remove square roots

4 x^{2} - 64 x + 256 = 216 - 36 x

Solve

4 x^{2} - 64 x + 256 = 216 - 36 x : x = 5, x = 2

x = 5, x = 2

Verify Solutions:

x = 5

True

, x = 2

True

The solutions are

x = 5, x = 2

x + 2 = 4 + 7 x

x^{2} + 5 x + 1 + 1 = 2 x

x + 6 - 4 = 0

5 x - 16 = 7

(x + 3)^{\frac{1}{3}} = - 2

What is the answer to sqrt(x-1)+sqrt(6-x)=3 ?
The answer to sqrt(x-1)+sqrt(6-x)=3 is x=5,x=2
Solve for x: sqrt(x-1)+sqrt(6-x)=3
The solution is x=5,x=2