Question

Use the discriminant to describe the roots of each equation. Then select the best description.

Answer 1

Answer:

Real and irrational root

Step-by-step explanation:

Since a quadratic equation $ax^2+bx+c$,

Has two real different roots,

If the value of discriminant $D=b^2-4ac>0$

Has two equal real roots,

If $D=0$

Has two imaginary roots,

If $D$

Here, the given equation,

$x^2-5x-4=0$

$D=(-5)^2-4\times 1\times -4=25+16= 41>0$

Hence, the equation has the two unequal real roots,

Now, √D is an irrational number ( Which can not be expressed in the form of p/q in which q≠0 )

Therefore, the given equation has real and irrational root,

Third option is correct.

Answer 2

The answer is C though.
I am sure of it from what i remember whenever i was in 9th