What is the answer to u=sqrt(10u-21) ?

The answer to u=sqrt(10u-21) is u=7,u=3

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u=sqrt(10u-21)

u = 10 u - 21

u = 7, u = 3

Solution steps

u = 10 u - 21

Square both sides:

u^{2} = 10 u - 21

u^{2} = 10 u - 21

Solve

u^{2} = 10 u - 21 : u = 7, u = 3

u = 7, u = 3

Verify Solutions:

u = 7

True

, u = 3

True

The solutions are

u = 7, u = 3

x + 2 + 3.5 = 0

(0.252)^{1.399} = 5 x^{1.399}

x - 3 = x - 1

7 - 3 x = x + 7

x + 4 = 2 - 3 x + 10