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A quadratic equation has a discriminant of 12. Which could be the equation?

1.) 0 = –x2 + 8x + 2

2.) 0 = 2x2 + 6x + 3

3.) 0 = –x2 + 4x + 1

4.) 0 = 4x2 + 2x + 1

Respuesta :

Aliwohaish12
ax^2 + bx + c = 0, the discriminant

is b^2 - 4ac when I try to solve with option 2
6^2 - 4(2)(3) = 12
So the answer is 2
facundo3141592

By computing each discriminant, we will see that has a discriminant equal to 12 is the second option.

What is the discriminant of a quadratic equation?

For a quadratic equation:

a*x^2 + b*x + c = 0

The discriminant is given by:

D = b^2 - 4*a*c

So for the given equations we just need to find which ones have a discriminant of 12.

Let's see the discriminant of each one.

1) 0 = -x^2 + 8x + 2

  • D = 8^2 - 4*(-1)*2 = 72

2) 0 = 2*x^2 + 6*x + 3

  • D = 6^2 - 4*2*3 = 36 - 24 = 12

This is a correct option.

3) 0 = -x^2 + 4x + 1

  • D = 4^2 - 4*(-1)*1 = 16 + 4 = 20

4) 0 = 4*x^2 + 2x + 1

  • D = 2^2 - 4*4*1 = -12

So we can conclude that the only correct option is the second one.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

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