Question

Use the discriminant to describe the roots of

Answer 1

The quadratic equation x² - 5x - 4 = 0 has two real roots as 41 > 0.

What is a quadratic equation?

A quadratic equation is an algebraic equation of degree two.

We know in a quadratic equation ax² + bx + c = 0, The discriminant D is        b² - 4ac.

If D > 0 the quadratic equation has two real roots.

If D = 0 the quadratic equation has one real root.

If D < 0 the quadratic equation has no real roots.

∴ In x² - 5x - 4 = 0,

Discriminant D is b² - 4ac.

= (-5)² - 4.1.(-4).

= 25 + 16.

= 41.

∴ D > 0 and the quadratic equation has two real roots.

learn more about discriminant here :

brainly.com/question/15884086

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