What are the solutions to the equation completesquare 4x^2-12x+25 ?

The solutions to the equation completesquare 4x^2-12x+25 are 4(x-3/2)^2+16

Find the zeros of completesquare 4x^2-12x+25

The zeros of completesquare 4x^2-12x+25 are 4(x-3/2)^2+16

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complete the square

4 x^{2} - 12 x + 25

4 (x - \frac{3}{2})^{2} + 16

Solution steps

4 x^{2} - 12 x + 25

Write

4 x^{2} - 12 x + 25

in the form:

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

Factor out

4

4 (x^{2} - 3 x + \frac{25}{4})

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

Add and subtract

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

4 (x^{2} - 3 x + \frac{25}{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{25}{4} - (- \frac{3}{2})^{2})

Simplify

4 (x - \frac{3}{2})^{2} + 16

x^{2} + 7 x - 12 = 0

2 x^{2} - x + 8 = 16

x, y x^{2} - 5 y - x = 0

R, x^{2} + y^{2} = R^{2}

s^{2} + 20 s + 10 = 0

What are the solutions to the equation completesquare 4x^2-12x+25 ?
The solutions to the equation completesquare 4x^2-12x+25 are 4(x-3/2)^2+16
Find the zeros of completesquare 4x^2-12x+25
The zeros of completesquare 4x^2-12x+25 are 4(x-3/2)^2+16