Algebra: Can quadratic have more than two solutions?

[pboland]

Can a quadratic equation have more than two solutions? If so, give an example. If not, explain why.

 

[stapel]

Can a quadratic equation have more than two solutions?

Hints: What are the "solutions" to a quadratic? What formula gives all the solutions? How many solutions does it give?

Eliz.

 

[ChaoticLlama]

Look at what a parabola looks like first, then you tell us.

Then reference the quadratic equation to support your claim.

for a quadratic function in the general form, y = Ax² + Bx + C

\(\displaystyle \L\ x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}\)

Hint... Look specifially at the radicand: \(\displaystyle \L\sqrt {b^2 - 4ac}\)