If a quadratic equation can be solved,how many solutions are there?

Answer 1

2 - there are never more than 2 solutions to a quadratic equation.

Answer 2

A quadratic equation solves equations of degree 2. (x2), So there are only 2 possible answers.

Answer 3

There are always 2 solutions.
For real coefficients (the kind you probably will see all the time in your class):
1. sometimes there are 2 real number solutions (vertex is not on the x-axis and the parabola crosses the x-axis)
2. sometimes the 2 solutions are identical (vertex of the parabola is on the x-axis)
3. sometimes the solution is an imaginary number and its conjugate (the vertex is not on the x-axis nor does the parabola cross the x-axis)

You probably won't see this in your class:
4. for complex number coefficients, the solution may be a complex number and its complex conjugate.

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Answer 4

The max amount of REAL answers you can have is 2.
Using the discriminant formule B^2-4ac (Comes from quadratic) you can tell the discriminant. If that number is greator then 0 then there are 2 real answers. If it equals 0 then there is one real answer. If the number is less then zero then there is 0 real answers.

However, if the number is 0 or less, then there is an infant number of imaginary answers. (Imaginary is anything that uses the number i such as the square root of a negative number)

Answer 5

two solutions

The quadratic equation is:
ax^2 + bx + c = 0

The quadratic formula for solving the equation gives solutions:
x1 = [-b + sqrt(b^2 - 4ac)]/2a

x2 = [-b - sqrt(b^2 - 4ac)]/2a

Answer 6

In general, an nth order polynomial has n and exactly n factors. They could have repeated factors, or complex conjugates, but in general it's exactly n. For a quadratic, there are always two. They could be repeated factors, or complex conjugates, but in general it's two.

Answer 7

zero, one, or two solutions ONLY

can never have more than two.