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In the Quadratic Formula the expression under the radical sign b² 4ac is the .?
In the Quadratic Formula, the expression under the radical sign ( b^2 - 4ac ) is called the discriminant. It determines the nature of the roots of the quadratic equation ( ax^2 + bx + c = 0 ). If the discriminant is positive, there are two distinct real roots; if it is zero, there is exactly one real root; and if it is negative, the equation has two complex roots.
A quadratic equation has how many real roots?
Quadratics can two, one or 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.
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 are the roots of quadratic equation?
That depends on the value of its discriminant if its less than zero then it has no real roots.
In the Quadratic Formula the expression under the radical sign b² 4ac is the .?
In the Quadratic Formula, the expression under the radical sign ( b^2 - 4ac ) is called the discriminant. It determines the nature of the roots of the quadratic equation ( ax^2 + bx + c = 0 ). If the discriminant is positive, there are two distinct real roots; if it is zero, there is exactly one real root; and if it is negative, the equation has two complex roots.
How many real roots do we have if the polynomial equation is in degree six?
Such an equation has a total of six roots; the number of real roots must needs be even. Thus, depending on the specific equation, the number of real roots may be zero, two, four, or six.
Is radical 25 a real number?
If by "radical" you mean "square root of", then yes. Both square roots of 25 are real numbers.
A quadratic equation has how many real roots?
Quadratics can two, one or no real roots.
What is an example radical equation of real life?
secret lang
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
If the discriminant is negative the equation has?
No real roots but the roots are a pair of complex conjugates.
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.
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 are the roots of quadratic equation?
That depends on the value of its discriminant if its less than zero then it has no real roots.
What part of the quadratic equation is the discriminate?
The discriminant of a quadratic equation, represented as ( b^2 - 4ac ) in the standard form ( ax^2 + bx + c = 0 ), determines the nature of the roots of the equation. If the discriminant is positive, there are two distinct real roots; if it is zero, there is exactly one real root (a repeated root); and if it is negative, there are no real roots, indicating the roots are complex.
What determines how many solutions a quadric equation will have and whether they are real or imaginary?
If you put the equation into standard form, ax2 + bx + c = 0, then the number and type of roots are determined by the expression b2 - 4ac - this is because in the quadratic equation, this appears under a radical sign. If this expression is...Positive: the equation has two real solutions.Zero: the equation has one solution, sometimes considered a "double root".Negative: the equation has two complex solutions.
