Quadratic Formula Examples

Example 1
Use the quadratic formula to find the roots of

y = 2x ^{2} + 4x + 1

How about we check if you know your abc's?

a = 2 b = 4c = 1

if (answer = correct) print("Good job!") else { print("Practice some more and you'll surely get the hang of it.") }

Next, we plug our numbers into the quadratic formula.

Then, simplify.

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Example 2
Use the quadratic formula to find the roots of
y = x ^{2} – 16

This is a quadratic function, so we can still use the quadratic formula.

a = 1 b = 0c = -16

We just have b = 0. Everything works out the same otherwise.

And done.

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Example 3
Use the quadratic formula to find the roots of
y = x ^{2} + 4x + 4

a = 1 b = 4c = 4

Third verse, same as the first.

There is only one real root for this equation.

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Example 4
Use the quadratic formula to find the roots of

.

b = 3c = 6

In this case we have two complex roots.

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