What is the answer to sqrt(7x-31)=x-3 ?

The answer to sqrt(7x-31)=x-3 is x=8,x=5

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sqrt(7x-31)=x-3

7 x - 31 = x - 3

x = 8, x = 5

Solution steps

7 x - 31 = x - 3

Square both sides:

7 x - 31 = x^{2} - 6 x + 9

7 x - 31 = x^{2} - 6 x + 9

Solve

7 x - 31 = x^{2} - 6 x + 9 : x = 8, x = 5

x = 8, x = 5

Verify Solutions:

x = 8

True

, x = 5

True

The solutions are

x = 8, x = 5

x - 7 = 5 - x + 8

x + 5 = - 3

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

2 (x - 1)^{\frac{2}{3}} = 32

What is the answer to sqrt(7x-31)=x-3 ?
The answer to sqrt(7x-31)=x-3 is x=8,x=5
Solve for x: sqrt(7x-31)=x-3
The solution is x=8,x=5