Question

What is the discriminant of the quadratic equation, 4x^2-8x-5=0​

Answer 1

Explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer 2

`\Delta=144`

Explanation:

For a quadratic in standard form, the discriminant is given by:

`\Delta=b^2-4ac`

We have the equation:

`4x^2-8x-5=0`

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

`\Delta=(-8)^2-4(4)(-5)`

Evaluate:

`\Delta=64+80`

Add:

`\Delta=144`

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.