Question

What is the discriminant D of the equation?

a^2-2a+5=0

Enter your answer:

D=___


Please help! Thank you to who knows how to do this. You WILL be rewarded.

Answer 1

The discriminant is calculated using the formula:

`D={b}^(2)-4ac`

First, find a, b and c

The standard form of a quadratic function is:

`f(x) = {ax}^(2) + bx + c`
So if we look at the formula we get:

`a = 1`

`b = - 2`

`c = 5`
Then, insert them into the formula:

`( { - 2}^(2) ) - 4 * 1* 5`

`D=4-20`
So the dicriminant is:
D = -16
Meaning that the graph of the function has no roots (zeroes).

Answer 2

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