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How does the discriminant affect the roots of a quadratic equation?
Wiki User
∙ 12y ago
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
Wiki User
∙ 12y ago
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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.
Why the discriminant of a quadratic is useful in algebra?
Because the square root of the discriminant is a component of the roots of the equation.
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 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.
When can you say that the discriminant don't have root?
If the discriminant of a quadratic equation is less than zero then it will have no real roots
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.
If the discriminant of an equation is 0?
If the discriminant of a quadratic equation is zero then it has two identical roots.
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.
When can you say that he discriminant don't have roots?
If the discriminant b2-4ac of a quadratic equation is less than zero then it will have no 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
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
Why the discriminant of a quadratic is useful in algebra?
Because the square root of the discriminant is a component of the roots of the equation.
In the quadratic equation ax2 plus bx plus c 0 if b2 - 4ac?
If you mean b^2 -4ac then it is the discriminant of a quadratic equation. If the discriminant equals 0 then the equation has 2 equal roots. If the discriminant is greater than 0 then the equation has 2 different roots. If the discriminant is less than 0 then it has no real roots.
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.
If the discriminant is zero?
The two roots of the quadratic equation coalesce into one.
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.
When can you say that the discriminant don't have root?
If the discriminant of a quadratic equation is less than zero then it will have no real roots
