Answer :
The discriminant of a quadratic is given as [tex]b^2 - 4ac[/tex], so we know that [tex]b^2 - 4ac = -16.[/tex]
When using the quadratic formula to calculate values for [tex]x[/tex], we have to take the root of the discriminant. There is no real answer to the root of a negative number and so the equation has no real roots.
When using the quadratic formula to calculate values for [tex]x[/tex], we have to take the root of the discriminant. There is no real answer to the root of a negative number and so the equation has no real roots.
Answer:
A given quadratic equation has no real roots.
Step-by-step explanation:
Given a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] has a discriminant value of –16. we have to find number of real solutions the equation have.
As given discriminant is -16
The formula to find the roots of quadratic equation by discriminant rule is
[tex]x=\frac{-b\pm\sqrt D}{2a}[/tex], [tex]\text{where D is discriminant}[/tex]
[tex]x=\frac{-b\pm\sqrt{-16}}{2a}[/tex]
[tex]x=\frac{-b\pm4i}{2a}[/tex]
which shows that neither of the solutions are real numbers.