Respuesta :
According to question D = -17 , i.e. D<0 . So , it's roots will be imaginary or complex roots !
Step-by-step explanation:
Here we need to tell , A discriminant of -17 indicates what type of roots . Let's find out:
For a general quadratic equation in form of [tex]f(x) = ax^2+bx+c[/tex] , Discriminant is given by :
⇒ [tex]D = b^2-4ac[/tex]
We have following 3 cases for discriminant as :
D>0
When discriminant is greater then zero we can say that , function has 2 roots which are distinct !
D=0
When discriminant is equal to zero , we can say that function has only one root !
D<0
When discriminant is less than zero we can say that the function has imaginary root or complex roots in form of [tex]a \pm ib[/tex] .
According to question D = -17 , i.e. D<0 . So , it's roots will be imaginary or complex roots !
-17 has imaginary roots
Explanation:
A discriminant of -17 indicates Imaginary (non-real) roots.
The discriminant of a polynomial equation is a value computed from the coefficients which helps us determine the type of roots it has - specifically whether they are real or non-real and distinct or repeated.
The discriminant indicated normally by Δ , is a part of the quadratic formula used to solve second degree equations.
Given a second degree equation in the general form:
a x² + bx + c = 0
The discriminant is:
Δ = b ² - 4ac
The discriminant can be used to characterize the solutions of the equation as:
1) Δ > 0 - two separate real solutions;
2) Δ = 0 - two coincident real solutions (or one repeated root);
3) Δ < 0 - no real solutions.
