valencoop07
Answered

Use the discriminant to determine the number of real solutions to the quadratic equation. n^2 − n − 6 = 0 What is the number of real solutions? Select the correct answer below:

0
1
2

Answer :

luisejr77

Answer: last option

Step-by-step explanation:

The formula to find the Discriminant is:

[tex]D=b^2-4ac[/tex]

Given the quadratic equation [tex]n^2-n-6=0[/tex], you can identify that:

[tex]a=1\\b=-1\\c=-6[/tex]

Now, you can substitute values into the formula  [tex]D=b^2-4ac[/tex], then:

[tex]D=b^2-4ac\\D=(1)^2-4(1)(-6)\\D=25[/tex]

As the Discriminant is greater than 0 ([tex]D>0[/tex]), then the quadratic equation  [tex]n^2-n-6=0[/tex] has two distinct real solutions.

kudzordzifrancis

ANSWER

2

EXPLANATION

The given quadratic equation is

[tex] {n}^{2} - n - 6 = 0[/tex]

Comparing to

[tex]a{n}^{2} + b n + c = 0[/tex]

We have a=1, b=-1 and c=-6

The discriminant is given by the formula,

[tex]D = {b}^{2} - 4ac[/tex]

Plug in the values to get,

[tex]D = {( - 1)}^{2} - 4(1)( - 6)[/tex]

[tex]D =1 + 24 = 25[/tex]

Since the discriminant is positive, the equation has two real roots.

Other Questions