What are the solutions to the equation completesquare 2t^2-2t+1 ?

The solutions to the equation completesquare 2t^2-2t+1 are 2(t-1/2)^2+1/2

Find the zeros of completesquare 2t^2-2t+1

The zeros of completesquare 2t^2-2t+1 are 2(t-1/2)^2+1/2

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complete the square

2 t^{2} - 2 t + 1

2 (t - \frac{1}{2})^{2} + \frac{1}{2}

Solution steps

2 t^{2} - 2 t + 1

Write

2 t^{2} - 2 t + 1

in the form:

x^{2} + 2 a x + a^{2}

Factor out

2

2 (t^{2} - t + \frac{1}{2})

2 a = - 1 : a = - \frac{1}{2}

Add and subtract

(- \frac{1}{2})^{2}

2 (t^{2} - t + \frac{1}{2} + (- \frac{1}{2})^{2} - (- \frac{1}{2})^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

t^{2} - 1 t + (- \frac{1}{2})^{2} = (t - \frac{1}{2})^{2}

2 ((t - \frac{1}{2})^{2} + \frac{1}{2} - (- \frac{1}{2})^{2})

Simplify

2 (t - \frac{1}{2})^{2} + \frac{1}{2}

b, \frac{4 x ^{2} + b ^{2} - 2 b x}{3} = y

0 = a^{2} - 2 a + 2.34

x^{2} + (6 + 2 x)^{2} = (9 + 2 x)^{2}

144.3 x^{2} - 350.98 x + 49.9947 = 0

0 = 0.5 q^{2} + 5 q - 100

What are the solutions to the equation completesquare 2t^2-2t+1 ?
The solutions to the equation completesquare 2t^2-2t+1 are 2(t-1/2)^2+1/2
Find the zeros of completesquare 2t^2-2t+1
The zeros of completesquare 2t^2-2t+1 are 2(t-1/2)^2+1/2