One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
−x2+18x+813x2−6x+98x2−32x+3225x2−30x−9x2−14x+196
For a quadratic to have distinct roots, it's must be the form: a2x2±2abx+b2
For example, applying this to the fifth one yields: 12x2−2×1×14x+142, which equals: x2−28x+196, this, isn't true, so it isn't 5.
Can you do the rest?
Thank you for the help! It helps me learn a lot better when people don't give direct answers, but hints and help. Thank you!
That is really good to here. Thanks
And thanks for your teaching style answer Builderboi.
If you become a member you will get known (positively I think) and then you will get a consistently good response (like this one) from answerers here.
Guest: I'm so glad I could help!
Melody: Thank you!
Also, I just realized my original answer has a typo, it should be "For a quadratic to have repeated roots", not "For a quadratic to have distinct roots"