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A quadratic equation has the form:
x^2 - (sum of the roots)x + product of the roots = 0 or,
x^2 - (r1 + r2)x + (r1)(r2) = 0
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How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
Why do mathmaticians use the quadratic formula?
To find the roots (solutions) of a quadratic equation.
What happens in the quadratic formula that yields no real solutions?
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation 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.
How do you solve 12x squared plus 9x plus 15 equals 0 with quadratic formula?
It can't be solved because the discriminant of the given quadratic equation is less than zero meaning it has no real roots.
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.
What are the roots of the quadratic equation below?
That depends on the equation.
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.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
Why do mathmaticians use the quadratic formula?
To find the roots (solutions) of a quadratic equation.
What is the formula to find the product of the roots of a quadratic equation?
If the quadratic is ax2 + bx + c = 0 then the product of the roots is c/a.
What form is the solving for the roots of quadratic equations?
Using the quadratic equation formula or completing the square
What happens in the quadratic formula that yields no real solutions?
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
When do you use the quadratic formula?
When you need to find the roots of a quadratic equation and factorisation does not work (or you cannot find the factors). The quadratic equation ALWAYS works. And when appropriate, it will give the imaginary roots which, judging by this question, you may not yet be ready for.
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 12x squared plus 9x plus 15 equals 0 with quadratic formula?
It can't be solved because the discriminant of the given quadratic equation is less than zero meaning it has no real roots.
A function to compute the real roots of the quadratic equation?
Where the equation is ax2 + bx + c the roots are given by the solutions to : (-b +/- sqrt(b2 - 4ac))/2a
