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

The answer to x-1=4sqrt(x-4) is x=13,x=5

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x-1=4sqrt(x-4)

x - 1 = 4 x - 4

x = 13, x = 5

Solution steps

x - 1 = 4 x - 4

Square both sides:

x^{2} - 2 x + 1 = 16 x - 64

x^{2} - 2 x + 1 = 16 x - 64

Solve

x^{2} - 2 x + 1 = 16 x - 64 : x = 13, x = 5

x = 13, x = 5

Verify Solutions:

x = 13

True

, x = 5

True

The solutions are

x = 13, x = 5

p + 16 + 4 = p

2 x + 1 + 2 x - 1 = 2

3 a - 19 = 17 - a

x - 54 - 3 x = 0

x = 2 x + 9 - 3