Q: You are about 2 factor a quadratic equation involving some xs and a plan number you see that the sign in front of the xs is negative and the sign in front of the plan number is positive this tells you?

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Look at the discriminant, B2 - 4AC, in the quadratic equation. As it goes from negative to positive, the parabola moves in the direction of its small end towards the X-axis. At zero, it touches the X-axis.

There is no equation in the question and so there can be no answer.

It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots

The browser that is used for submitting questions does not permit many mathematical symbols. It is therefore not possible to be sure what the question was. Here, it is not possible to tell whether the last term is positive or negative. For a quadratic equation of the form ax^2 + bx + c = 0, where a, b and c are real numbers and a is non-zero, the discriminant is b^2 – 4ac.

A quadratic function will cross the x-axis twice, once, or zero times. How often, depends on the discriminant. If you write the equation in the form y = ax2 + bx + c, the so-called discriminant is the expression b2 - 4ac (it appears as part of the solution, when you solve the quadratic equation for "x" - the part under the radical sign). If the discriminant is positive, the x-axis is crossed twice; if it is zero, the x-axis is crossed once, and if the discriminant is negative, the x-axis is not crossed at all.

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That means that both of your brackets will have minus signs.

They each typically have two solutions, a positive one and a negative one.

That means that both of your brackets will have minus signs.

That means that both of your brackets will have minus signs.

That means that both of your brackets will have minus signs.

That means that both of your brackets will have minus signs.

That means that both of your brackets will have minus signs.

If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value

If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.

The term inside the square root symbol is called the radicand. There isn't a specific term for it based on its sign; whether it's positive or negative, it's still the radicand.I'm a little confused by your reference to the quadratic equation.If the radicand is negative, the root is an imaginary number, though that doesn't specifically have anything to do with the quadratic equation in particular.If the quantity b2 - 4ac is negative in the quadratic equation, the root of the quadratic equation is either complex or imaginary depending on whether or not b is zero.---------------------------Thank you to whoever answered this first; you saved me a bit of trouble explaining this to the asker :)However, in the quadractic equation, the number under the radical is called the discriminant. This determines the number of solutions of the quadratic. If the radicand is negative, this means that there are no real solutions to the equation.

No. By definition, a quadratic equation can have at most two solutions. For a quadratic of the form ax^2 + bx + c, when the discriminant of a quadratic, b^2 - 4a*c is positive you have two distinct real solutions. As the discriminant becomes smaller, the two solutions move closer together. When the discriminant becomes zero, the two solutions coincide which may also be considered a quadratic with only one solution. When the discriminant is negative, there are no real solutions but there will be two complex solutions - that is those involving i = sqrt(-1).

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