If the discriminant of an equation is positive, which of the following is true of the equation?
A. it has two complex solution
B. it has two real solutions
C. it has one real solution
Solution:
The discriminant of an equation can be positive, negative or zero.
It determines how many solutions are there to the given quadratic equation.
A positive discriminant indicates that the quadratic equation has two distinct real number solutions.
A negative discriminant indicates that neither of the solutions are real numbers.
Consider the quadratic equation of the form ax²+bx+c.
The solution to the equation can be found using
x = (-b ± √b²- 4ac)/2a
Where, the discriminant is b²- 4ac.
When the discriminant is greater than zero, then the root is positive.
Therefore, we have two positive real solutions.
If the discriminant of an equation is positive, which of the following is true of the equation?
A. it has two complex solution
B. it has two real solutions
C. it has one real solution
Summary:
If the discriminant of an equation is positive, then it has two real solutions.
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