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A quadratic equation that can be separated into two identical factors always has a discriminant that is?
Wiki User
∙ 9y ago
Assuming the coefficients are real, the discriminant is non-negative. The reason for this is that in this case, if the solutions are complex, they must needs be conjugats of one another, i.e., two different solutions.
Wiki User
∙ 9y ago
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How many discriminant did this quadratic equation have -4j2 3j-280?
A quadratic equation has one discriminant.
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.
What is the definition of quadratic discriminant?
The discriminant of the quadratic equation: y = ax^2 + bx + c is b^2 - 4ac
What part of the a quadratic formula tells you when the quadratic equation can be solved by factoring?
The discriminant
When the discriminant is perfect square the answer to a quadratic equation will be?
Rational.
If the discriminant of an equation is 0?
If the discriminant of a quadratic equation is zero then it has two identical roots.
How many discriminant did this quadratic equation have -4j2 3j-280?
A quadratic equation has one discriminant.
If the discriminant of a quadratic equation is -4 how many solutions does the equation have?
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
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.
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 definition of quadratic discriminant?
The discriminant of the quadratic equation: y = ax^2 + bx + c is b^2 - 4ac
What statements must be true of an equation before you can use the quadratic formula to find the solutions?
That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.
What part of the a quadratic formula tells you when the quadratic equation can be solved by factoring?
The discriminant
When the discriminant is perfect square the answer to a quadratic equation will be?
Rational.
How many real solutions does a quadratic equation have if its discriminant is negative?
The quadratic has no real solutions.
When will an equation have no solution?
If the discriminant of a quadratic equation is less than zero then it has no solutions.
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.
