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How do you recognize when an equation has no real solution or an infinite number of solutions?
It depends on the equation. Also, the domain must be such that is supports an infinite number of solutions. A quadratic equation, for example, has no real solution if its discriminant is negative. It cannot have an infinite number of solutions. Many trigonometric equations are periodic and consequently have an infinite number of solutions - provided the domain is also infinite. A function defined as follows: f(x) = 1 if x is real f(x) = 0 if x is not real has no real solutions but an infinite number of solutions in complex numbers.
How many soloutions does an inequality have?
Quite often, it has infinitely many solutions. For example: x > 5 Any number greater than 5 will work here. It need not even be a whole number. It is also possible for an equation involving inequalities to have one or no solution. For instance: x squared < 0 Has zero solutions (at least, in the set of real numbers).
How many real solutions does a quadratic function have when the value of its discriminant is seven?
If the discriminant is positive, as in this case, there are two real solutions.Also: * If the discriminant is zero, there is one real solution, considered to be a "double solution" because of the way polynomials are factored. * If the discriminant is negative, there are two complex solutions, which are complex and non-real.
How many real solutions are there to the equqtion 4x2 plus x-1 equals 0?
It has 2 real solutions because the discriminant is greater than zero.
If the discriminant of a quadratic equation is greater than zero which is true A) It has one real solution. B) It has two complex solutions. C) It has two real solutions?
C
