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:
$( { - 2}^{2} ) - 4 \times 1\times 5$
$D=4-20$
So the dicriminant is:
D = -16
Meaning that the graph of the function has no roots (zeroes).

Answer 2

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