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Write the quadratic equation in the form

ax2 + bx + c = 0

The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.

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Q: When the roots are equal of a quadratic equation?
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What are quadratic equations with real roots?

If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.


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What can the discriminant tell you about a quadratic equation?

It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.


What is the answer of 4x2plus9equal12x?

It is a quadratic equation and when solved it has equal roots of 3/2 or 1.5


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.


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

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How can you tell how many solutions a quadratic equation will have without solving it?

A quadratic equation can have a maximum of 2 solutions. If the discriminant (b2-4ac) turns out to be less than 0, the equation will have no real roots. If the Discriminant is equal to 0, it will have equal roots. But, if the discriminant turns out to be more than 0,then the equation will have unequal and real roots.


Why do you use square roots to solve quadratic equations?

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

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Can the answer to a quadratic equation be a decimal?

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