What are the solutions to the equation completesquare 4x^2-12x+5 ?

The solutions to the equation completesquare 4x^2-12x+5 are 4(x-3/2)^2-4

Find the zeros of completesquare 4x^2-12x+5

The zeros of completesquare 4x^2-12x+5 are 4(x-3/2)^2-4

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complete the square

4 x^{2} - 12 x + 5

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

Solution steps

4 x^{2} - 12 x + 5

Write

4 x^{2} - 12 x + 5

in the form:

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

Factor out

4

4 (x^{2} - 3 x + \frac{5}{4})

2 a = - 3 : a = - \frac{3}{2}

Add and subtract

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

4 (x^{2} - 3 x + \frac{5}{4} + (- \frac{3}{2})^{2} - (- \frac{3}{2})^{2})

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

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

4 ((x - \frac{3}{2})^{2} + \frac{5}{4} - (- \frac{3}{2})^{2})

Simplify

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

4 x^{2} - 10 x + 6 = 0

x, z = x^{2} - 3 x y + y^{2}

146 = - 16 t^{2} + 100 t + 10

x, x^{2} + y^{3} = 25

2 x (1 - x) = - 3

What are the solutions to the equation completesquare 4x^2-12x+5 ?
The solutions to the equation completesquare 4x^2-12x+5 are 4(x-3/2)^2-4
Find the zeros of completesquare 4x^2-12x+5
The zeros of completesquare 4x^2-12x+5 are 4(x-3/2)^2-4