What are the solutions to the equation completesquare 4x^2-24x+27 ?

The solutions to the equation completesquare 4x^2-24x+27 are 4(x-3)^2-9

Find the zeros of completesquare 4x^2-24x+27

The zeros of completesquare 4x^2-24x+27 are 4(x-3)^2-9

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complete the square

4 x^{2} - 24 x + 27

4 (x - 3)^{2} - 9

Solution steps

4 x^{2} - 24 x + 27

Write

4 x^{2} - 24 x + 27

in the form:

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

Factor out

4

4 (x^{2} - 6 x + \frac{27}{4})

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

4 (x^{2} - 6 x + \frac{27}{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{27}{4} - (- 3)^{2})

Simplify

4 (x - 3)^{2} - 9

4 x^{2} + 8 x - 9

3 x^{2} + 6 x = 72

2 (x - 3)^{2} + 1 = 101

x^{2} - 7 = 93

2 x^{2} - 3 x - 8

What are the solutions to the equation completesquare 4x^2-24x+27 ?
The solutions to the equation completesquare 4x^2-24x+27 are 4(x-3)^2-9
Find the zeros of completesquare 4x^2-24x+27
The zeros of completesquare 4x^2-24x+27 are 4(x-3)^2-9