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In a quadratic y = ax² + bx + c, the roots are where y = 0, and the parabola crosses the x-axis. The average of these two roots is the x coordinate of the vertex of the parabola.

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Q: What is the average of the two roots of quadratic equation?
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Related questions

Can the answer to a quadratic equation be a decimal?

Yes. You can calculate the two roots of a quadratic equation by using the quadratic formula, and because there are square roots on the quadratic formula, and if the radicand is not a perfect square, so the answer to that equation has decimal.


How many roots does a quadratic equation in one variable have?

A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.


A quadratic equation has how many real roots?

Quadratics can two, one or no real roots.


If the discriminant of an equation is 0?

If the discriminant of a quadratic equation is zero then it has two identical roots.


If the discriminant is zero?

The two roots of the quadratic equation coalesce into one.


What is true about a quadratic equation when the discriminant of the equation is positive?

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


When the graph of a quadratic equation has its turning point on the x-axis how many roots does it have?

It will have two equal roots.


When the discriminant is positive the answer to the quadratic equation will be?

Then x will have two different distinct roots


How does the discriminant affect the roots of a quadratic equation?

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


How many real roots exist if the discriminant of the eqation0?

If the discriminant of a quadratic equation is 0 then it has two equal real roots.


How many roots can a quadratic function have?

The answer is two. Despite its name seems to suggest something to do with four, in a quadratic equation the unknown appears at most to the power of two and so is said to be of second degree. The theorem than pertains here is that the number of roots an equation has is equal to its degrees. However, some of the roots can be repeated - an nth degree equation need not have n different roots. Also the roots do not have to be real. However complex roots ( no real) come in pairs so an equation of odd degree must have at least one real root. A quadratic possibly has no real roots.


What is a discriminant in a quadratic equation?

General form of a quadratic equation is: ax2+b+c = 0 The discriminant is: b2-4ac If the discriminant equals zero then there are two equal roots If the discriminant is greater than zero then there are two different roots If the discriminant is less than zero then there are no real roots