What is the answer to sqrt(7x-17)=x-1 ?

The answer to sqrt(7x-17)=x-1 is x=6,x=3

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sqrt(7x-17)=x-1

7 x - 17 = x - 1

x = 6, x = 3

Solution steps

7 x - 17 = x - 1

Square both sides:

7 x - 17 = x^{2} - 2 x + 1

7 x - 17 = x^{2} - 2 x + 1

Solve

7 x - 17 = x^{2} - 2 x + 1 : x = 6, x = 3

x = 6, x = 3

Verify Solutions:

x = 6

True

, x = 3

True

The solutions are

x = 6, x = 3

(x - 2)^{2} = 16

x^{2} - x - 12 = 0

2 x + 5 - 4 x = 1

\frac{2 x + 7}{4} = 3

5 x - 14 - 2 x - 1 = 0

What is the answer to sqrt(7x-17)=x-1 ?
The answer to sqrt(7x-17)=x-1 is x=6,x=3
Solve for x: sqrt(7x-17)=x-1
The solution is x=6,x=3