Respuesta :

2a^2+2b-12=0 is not a solvable quadratic. I will assume you meant 2x^2+2x-12
The quadratic formula is (-b+-sqrt(b^2-(4ac))/2a

(-2+-sqrt(2^2-(4*2*-12))/2*2
(-2+-sqrt(4-(-96))/4
(-2+-sqrt(100))/4
(-2+-10)/4
12/4 or 8/4
3 or 2
The answer is x=3 or x=2

Answer:

[tex]x_{1} = \frac{2+\sqrt{192}}{-4}; x_{2} = \frac{2-\sqrt{192}}{-4}[/tex]

Step-by-step explanation:

[tex]-2a^{2}-2b-12=0\\[/tex]

Take the coefficients and substitute for a, b and c

[tex]a = -2; b = -2; c = -12[/tex]

[tex]x_{1,2} = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

[tex]x_{1,2} = \frac{2+-\sqrt{2^2-4*-2*-12}}{2*-2}[/tex]

[tex]x_{1} = \frac{2+\sqrt{192}}{-4}[/tex]

[tex]x_{2} = \frac{2-\sqrt{192}}{-4}[/tex]

Please tell me if my solutions are incorrect so I can fix them.

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