Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 5x - 4 = 0 double root real and rational roots real and irrational roots non-…

Question

asked Dec 11, 2019 13.4k views

1 Answer

Abdallah Arffak · Answer 1 · 2019-12-17T16:30:01+0000

Answer:

Third option: Real and Irrational roots.

Explanation:

For a Quadratic equation:

ax^2+bx+c=0

The Discriminant can be found with this formula:

D=b^2-4ac

Given the following Quadratic equation:

x^2 - 5x - 4 = 0

You can identify that:

$a=1\\b=-5\\c=-4$

Then, substituting these values into the formula for find the Discriminant, you get that this is:

$D=(-5)^2-(4)(1)(-4)\\\\D=41$

Therefore, since the Discriminant is positive (
D>0 ) but it is not a perfect square, then the roots of the equation are Real and Irrational.