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Is it possible to have a quadratic function with one real zero and one imaginary zero why or why not?
Wiki User
∙ 12y ago
ax2+bx+c=0 with a,b and c real
discriminant D=b2-4ac
if D >0 then there are 2 real zeros
if D = 0 then there is one real zero
if D<0 then there are two imaginary zeros
There are no other possibility for D
For further information search for fundamental theorem of algebra
Wiki User
∙ 12y ago
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Can a no real number be a pure imaginary number?
If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.
Is Tim notke real or imaginary?
real
Can you divide an imaginary number by a real number?
an imaginary number is imaginary so no (i guess) this answer kind of sucks
Is imaginary squared a real number?
Assuming that "imaginary" refers to i, then the answer is yes.Assuming that "imaginary" refers to i, then the answer is yes.Assuming that "imaginary" refers to i, then the answer is yes.Assuming that "imaginary" refers to i, then the answer is yes.
Is every complex nberan imaginary number?
No. A complex number consists of a real part and a imaginary part. If the real part equals zero, there is only the imaginary left and you could therefor argue that it is an imaginary number (or else it would still be a complex number -with a real part=0)
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
Could you have a quadratic function with one real root and one complex root?
Provided some of the coefficients and the constant were imaginary (complex) as well, yes. For example, (x + 2)(x - 3+i) has both a real and an imaginary root, and has coefficients that are also both real and imaginary, i.e. 1, -1+i, and -6+2i.
The discriminant determines how many a quadratic equation will have and whether they are real or imaginary.?
solutions
The determines how many solutions a quadratic equation will have and whether they are real or imaginary?
discriminant
The discriminant determines how many solutions a quadratic equation will have and whether they are real or?
imaginary
The discriminant determines how many what a quadratic equation will have whether they are real or imaginary?
roots
Do quadratic equations always have two real solutions?
No. A quadratic may have two identical real solutions, two different real solutions, ortwo conjugate complex solutions (including pure imaginary).It can't have one real and one complex or imaginary solution.
Are there no real solutions if a quadratic function is 0?
If a quadratic function is 0 for any value of the variable, then that value is a solution.
Can there be a real and imaginary solution to a quadratic equation?
Yes, there can be a pure imaginary imaginary solution, as i2 =-1 and -i2 = 1. Or there can be a pure real solution or there can be a complex solution.For a quadratic equation ax2+ bx + c = 0, it depends on the value of the discriminant [b2 - 4ac], which is the value inside the radical of the quadratic formula.[b2 - 4ac] > 0 : Two distinct real solutions.[b2 - 4ac] = 0 : Two equal real solutions (double root).[b2 - 4ac] < 0 : Two complex solutions; they will be pure imaginary if b = 0, they will have both real and imaginary parts if b is nonzero.
Where can i find a real-life application of a quadratic function?
Quadratic functions are used to describe free fall.
Is it possible for a quadratic equation to have no real solution give examle ansd explain?
Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you
What is Nature of the zeros of a quadratic function?
If you have a quadratic function with real coefficients then it can have: two distinct real roots, or a real double root (two coincidental roots), or no real roots. In the last case, it has two complex roots which are conjugates of one another.
