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A quadratic equation, typically in the form ( ax^2 + bx + c = 0 ), is a polynomial of degree two, which means its graph is a parabola. According to the Fundamental Theorem of Algebra, a polynomial of degree ( n ) has exactly ( n ) roots (solutions) in the complex number system. Therefore, a quadratic equation has two solutions, which can be real or complex, depending on the discriminant (( b^2 - 4ac )). If the discriminant is positive, there are two distinct real solutions; if it is zero, there is one real solution (a double root); and if it is negative, there are two complex solutions.
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How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
What is the difference between quadratic formula and quadratic equation?
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
Why do mathmaticians use the quadratic formula?
To find the roots (solutions) of a quadratic equation.
When using the quadratic formula x always has multiple correct solutions?
Not necessarily. Formula gives two values but they can be identical.
How can you find the complex solutions of any quadratic equation?
I suggest you use the quadratic formula.
What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is a perfect square?
The two solutions are coincident.
How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
What formula name that gives the solutions for x in a quadratic equation?
This formula is called the quadratic formula.
What is the difference between quadratic formula and quadratic equation?
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
Why do mathmaticians use the quadratic formula?
To find the roots (solutions) of a quadratic equation.
When using the quadratic formula x always has multiple correct solutions?
Not necessarily. Formula gives two values but they can be identical.
How can you find the complex solutions of any quadratic equation?
I suggest you use the quadratic formula.
What are the solutions to the quadratic formula?
The quadratic formula is x=-b (+or-) square root of b2-4ac all over 2a
What are the two solutions for quadratic equations?
Quadratic curves only have two solutions when the discrimant is greater than or equal to zero.
What are the disadvantages and advantages of solving solutions by quadratic formula?
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How do you find the answer to a quadratic equation from the quadratic formula?
Plug 'a', 'b', and 'c' from the equation into the formula. When you do that, the formula becomes a pair of numbers ... one number when you pick the 'plus' sign, and another number when you pick the 'minus' sign. Those two numbers are the 'solutions' to the quadratic equation you started with.
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
