Mathematics: If a quadratic equation has a discriminant that equals zero, which of the following statements is always true? a. the equation has two solutions and the parabola will open upward. b. the equation has one solution and the parabola will open downward. c. the equation has zero solutions and there is not enough information to determine the direction of the parabola. d. the equation has one solution and there is not enough information to determine the direction of the parabola.

I believe it might be that x would be negative six. A triangle is supposed to sum to 180 degrees. An equation could be 180 = 52 + 78 + 56 + x....

If a quadratic equation has a discriminant that

kaywendel2008

14.01.2022

d. The equation has one solution and there is not enough information to determine the direction of the parabola.

Step-by-step explanation:

For a general quadratic equation

y = ax² +bx +c

the solution is

$x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

The discriminant (D) is the part of the quadratic formula underneath the radical: b² - 4ac.

D tells us whether there are

two different real solutionstwo identical real solutions ("one solution")two complex solutions.

If D= 0,

$x = \dfrac{-b}{2a}\pm0 = \mathbf{\dfrac{-b}{2a}}$

and there are two identical solutions ("one solution").

The direction of the parabola depends on the sign of a.

That information is not given, so we cannot determine the direction of the parabola.

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