What are the solutions to the equation completesquare 4x^2-24x+42 ?

The solutions to the equation completesquare 4x^2-24x+42 are 4(x-3)^2+6

Find the zeros of completesquare 4x^2-24x+42

The zeros of completesquare 4x^2-24x+42 are 4(x-3)^2+6

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complete the square

4 x^{2} - 24 x + 42

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

Solution steps

4 x^{2} - 24 x + 42

Write

4 x^{2} - 24 x + 42

in the form:

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

Factor out

4

4 (x^{2} - 6 x + \frac{21}{2})

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

4 (x^{2} - 6 x + \frac{21}{2} + (- 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{21}{2} - (- 3)^{2})

Simplify

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

4 + (x - 2)^{2} = x (4 - x)

4.9 x^{2} - 30.88 x - 4 = 0

t^{2} - 6 t - 27 = 0

x^{2} + 14 x - 10 = 5

5 d (d + 1) + 6 = 0

What are the solutions to the equation completesquare 4x^2-24x+42 ?
The solutions to the equation completesquare 4x^2-24x+42 are 4(x-3)^2+6
Find the zeros of completesquare 4x^2-24x+42
The zeros of completesquare 4x^2-24x+42 are 4(x-3)^2+6