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The determinant.
The determinant is the part under the square root of the quadratic equation and is:
b2-4ac where your quadratic is of the form: ax2+bx+c
If the determinant is less than zero then you have 'no real solutions' (as the square root of a negative number is imaginary.)
If the determinant is = 0, then you have one real solution (because you can discount the square root of the quadratic equation)
If the determinant is greater than zero you have two real solutions as you have (-b PLUS OR MINUS the square root of the determinant) all over 2a
To find the solutions where they exist you'll need to solve the quadratic formula or use another method.
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The discriminant determines how many what a quadratic equation will have whether they are real or imaginary?
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.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
What is the solving for the roots of quadratic equation?
It is finding the values of the variable that make the quadratic equation true.
The discriminant determines how many what a quadratic equation will have whether they are real or imaginary?
roots
What are the roots of the quadratic equation below?
That depends on the equation.
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 do you use square roots to solve quadratic equations?
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
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?
2 roots
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
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.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
What is the solving for the roots of quadratic equation?
It is finding the values of the variable that make the quadratic equation true.
What are the roots of a quadratic equation called?
Either "roots" or "solutions".
What is the difference between a radical equation and a quadratic equation?
radical equations have sq roots, cube roots etc. Quadratic equations have x2.
