What are the solutions to the equation completesquare 2x^2-12x+21 ?

The solutions to the equation completesquare 2x^2-12x+21 are 2(x-3)^2+3

Find the zeros of completesquare 2x^2-12x+21

The zeros of completesquare 2x^2-12x+21 are 2(x-3)^2+3

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complete the square

2 x^{2} - 12 x + 21

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

Solution steps

2 x^{2} - 12 x + 21

Write

2 x^{2} - 12 x + 21

in the form:

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

Factor out

2

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

2 (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}

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

Simplify

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

5 x^{2} + x - 16 = - 10

- 0.25 x^{2} + 4 x - 12 = 0

k^{2} + k - 42 = 0

2400 (d) = - d^{2} + 70 d + 1800

x^{2} - 12 x - 17 = 0

What are the solutions to the equation completesquare 2x^2-12x+21 ?
The solutions to the equation completesquare 2x^2-12x+21 are 2(x-3)^2+3
Find the zeros of completesquare 2x^2-12x+21
The zeros of completesquare 2x^2-12x+21 are 2(x-3)^2+3