What are the solutions to the equation completesquare 4x^2-24x+13 ?

The solutions to the equation completesquare 4x^2-24x+13 are 4(x-3)^2-23

Find the zeros of completesquare 4x^2-24x+13

The zeros of completesquare 4x^2-24x+13 are 4(x-3)^2-23

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complete the square

4 x^{2} - 24 x + 13

4 (x - 3)^{2} - 23

Solution steps

4 x^{2} - 24 x + 13

Write

4 x^{2} - 24 x + 13

in the form:

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

Factor out

4

4 (x^{2} - 6 x + \frac{13}{4})

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

4 (x^{2} - 6 x + \frac{13}{4} + (- 3)^{2} - (- 3)^{2})

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

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

4 ((x - 3)^{2} + \frac{13}{4} - (- 3)^{2})

Simplify

4 (x - 3)^{2} - 23

x^{2} - 3 x + 11 = 9

x, x^{2} - y^{2} + 4 x + 6 y - 5 = 0

x, 5 x^{2} + 5 y^{2} - 10 x - 10 y = - 25

[(a - 1) x + 2 a - 1] x + 3 a x = 2 a - 3

2 x^{2} + 2 x - 5 = x^{2}

What are the solutions to the equation completesquare 4x^2-24x+13 ?
The solutions to the equation completesquare 4x^2-24x+13 are 4(x-3)^2-23
Find the zeros of completesquare 4x^2-24x+13
The zeros of completesquare 4x^2-24x+13 are 4(x-3)^2-23