Respuesta :
Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the x-axis.
Explanation:
The standard form of a quadratic equation is,
[tex]p(x)=ax^2+bx+c[/tex]
The given function is,
[tex]p(x)=x(x-1)+1[/tex]
It can be written as,
[tex]p(x)=x^2-x+1[/tex]
By comparing this equation with the standard form of quadratic equation. we get,
[tex]a=1[/tex]
[tex]b=-1[/tex]
[tex]c=1[/tex]
The formula for discriminant is,
[tex]D=b^2-4ac[/tex]
[tex]D=(-1)^2-4(1)(1)[/tex]
[tex]D=1-4[/tex]
[tex]D=-3[/tex]
The value of the discriminant is -3.
If D<0, it means the function have no real roots.
If D=0, it means function have one real roots.
If D>0, it means function have two real roots.
Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.
The value of a is 1.
The value of b is -1.
The value of the c is 1.
The value of the discriminant is -3.
The function will not intersect the x-axis at any point.
Given that
Use the drop-down menus to complete the statements about the function p(x) = x(x – 1) + 1.
We have to determine
The value of a is.
The value of b is.
The value of c is.
The value of the discriminant is.
The quadratic function will intersect the x-axis times.
According to the question
The given equation is,
[tex]\rm p(x) = x(x - 1) + 1 [/tex]
To determine the discrimination of the given function expand the function.
Then,
[tex]\rm p(x) = x(x - 1) + 1\\ \\ p(x) = x^2-x+1[/tex]
On comparing with the standard quadratic equation,
[tex]\rm ax^2+bx+c=0[/tex]
The value of a is 1.
The value of b is -1.
The value of the c is 1.
The discrimination of the quadratic equation is given by;
[tex]\rm Discriminate = b^2-4ac\\ \\ Discriminate = (-1)^2-4 \times 1 \times 1\\ \\ Discriminate =1 -4\\ \\ Discriminate =-3[/tex]
The value of the discriminant is -3.
Here the value of D<0 means the function has no real roots.
So the function will not intersect the x-axis at any point.
To know more about Discriminate click the link given below.
https://brainly.com/question/15884086
