What are the solutions to the equation completesquare 2x^2-12x+15 ?

The solutions to the equation completesquare 2x^2-12x+15 are 2(x-3)^2-3

Find the zeros of completesquare 2x^2-12x+15

The zeros of completesquare 2x^2-12x+15 are 2(x-3)^2-3

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complete the square

2 x^{2} - 12 x + 15

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

Solution steps

2 x^{2} - 12 x + 15

Write

2 x^{2} - 12 x + 15

in the form:

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

Factor out

2

2 (x^{2} - 6 x + \frac{15}{2})

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

2 (x^{2} - 6 x + \frac{15}{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{15}{2} - (- 3)^{2})

Simplify

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

- 4 x^{2} + 151.8 x - 396.8 = 0

(2 x + 3)^{2} = 169

c x^{2} - 6 x + 3 = 0

2 x^{2} - 7 x + 30 = 0

2 s^{2} - 16 = - 88

What are the solutions to the equation completesquare 2x^2-12x+15 ?
The solutions to the equation completesquare 2x^2-12x+15 are 2(x-3)^2-3
Find the zeros of completesquare 2x^2-12x+15
The zeros of completesquare 2x^2-12x+15 are 2(x-3)^2-3