What are the solutions to the equation completesquare 4x^2-4x-3 ?

The solutions to the equation completesquare 4x^2-4x-3 are 4(x-1/2)^2-4

Find the zeros of completesquare 4x^2-4x-3

The zeros of completesquare 4x^2-4x-3 are 4(x-1/2)^2-4

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complete the square

4 x^{2} - 4 x - 3

4 (x - \frac{1}{2})^{2} - 4

Solution steps

4 x^{2} - 4 x - 3

Write

4 x^{2} - 4 x - 3

in the form:

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

Factor out

4

4 (x^{2} - x - \frac{3}{4})

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

Add and subtract

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

4 (x^{2} - x - \frac{3}{4} + (- \frac{1}{2})^{2} - (- \frac{1}{2})^{2})

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

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

4 ((x - \frac{1}{2})^{2} - \frac{3}{4} - (- \frac{1}{2})^{2})

Simplify

4 (x - \frac{1}{2})^{2} - 4

6 m^{2} + 13 m - 5 = 0

x^{2} + 2.21 x + 1.21 = 0

s^{2} - s + 1

x^{2} = 24 x

7 x^{2} - 12 x = 9

What are the solutions to the equation completesquare 4x^2-4x-3 ?
The solutions to the equation completesquare 4x^2-4x-3 are 4(x-1/2)^2-4
Find the zeros of completesquare 4x^2-4x-3
The zeros of completesquare 4x^2-4x-3 are 4(x-1/2)^2-4