What is the answer to 2t+sqrt(2t-1)=1 ?

The answer to 2t+sqrt(2t-1)=1 is t= 1/2

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2t+sqrt(2t-1)=1

2 t + 2 t - 1 = 1

t = \frac{1}{2}

Decimal Notation

t = 0.5

Solution steps

2 t + 2 t - 1 = 1

Remove square roots

2 t - 1 = 1 - 4 t + 4 t^{2}

Solve

2 t - 1 = 1 - 4 t + 4 t^{2} : t = 1, t = \frac{1}{2}

t = 1, t = \frac{1}{2}

Verify Solutions:

t = 1

False

, t = \frac{1}{2}

True

The solution is

t = \frac{1}{2}

a = a - 2 a - 1 a

3 - 3 x = x + 5

3 x + 16 = 2 x - 1

x - 2 x - 8 = 0

3 x + 7 - x + 1 = 2