A discriminant of -17 indicates what type of roots?

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 , Discriminant is given by :

⇒

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 .

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.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

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step-by-step explanation: