What is the answer to sqrt(1+u^2)+u=3 ?

The answer to sqrt(1+u^2)+u=3 is u= 4/3

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sqrt(1+u^2)+u=3

1 + u^{2} + u = 3

u = \frac{4}{3}

Decimal Notation

u = 1.33333 \dots

Solution steps

1 + u^{2} + u = 3

Remove square roots

1 + u^{2} = 9 - 6 u + u^{2}

Solve

1 + u^{2} = 9 - 6 u + u^{2} : u = \frac{4}{3}

u = \frac{4}{3}

Verify Solutions:

u = \frac{4}{3}

True

The solution is

u = \frac{4}{3}

x + 3 + 2 = 8

x + 3 + 2 = 9

x - x + 14 = 6

x + 5 = 1

x^{2} + 5 = x - 5