18 - Writing Quadratic Equations when Given its Roots - Part 1

[@amberbazanx3]

I adopted you as my dad, you are encouraging and smart. You have helped me tremendously and I appreciate you!! Thank you Jason aka Math Daddy!!!

[@MathAndScience]

Oh wow thank you so much!!

[@MintyRBXWasTaken]

thank you!! i was so so so confused because my math teacher couldnt explain it but you explained it so well!!

[@motherof3pearls]

Good stuff Jason!! I wish I had of found this type of help earlier during my son’s school year. #enlightenment 😃 💡

[@rahmatabadi3839]

There are infinitely many quadratic equations with roots (or zeros) of 1 and 5. They are k(x^2-6x+5)=0 for any non zero k. In order to make the solution unique, so you need to say "Find a quadratic equation whose coefficient of x^2 is 1 and roots are 1 and 5", for example.

[@jejjiz6162]

"Find a monic polynomial of degree 2 whose roots are 1 and 5"

[@alphasaffi9230]

Thank you sir we need more examples on this topics.

[@davidben5159]

Thank you Sir have a wonderful Christmas and a healthy and a happy new year to and your family. From the UK.

[@daliamarshall8304]

How can u because a member on your wed site

[@hemarajue2736]

Do mean by the theorem, if the given roots are rational we need to multiply the factors with their LCDs to get into a standard form of quadratic equation ?

[@farhadkhalasi108]

This theorem is easy to understand but there is one more thing that when we multiply by a, this generates a family of quadratics with the same roots r1and r2 in general.

[@motherof3pearls]

🤓 where is part two please?

[@shanettateague175]

I'm still not understanding these

[@xSavageYayyeex]

First