+73 What is the larger root of the equation x^2-10x+21=0
What does the "larger root" mean?
+983 Hey GM!
We can factor this quadratic:
\(x^2-10x+21=(x-7)(x-3)=0\)
I'm not going to explain how to factor the quadratic, but you can learn here:
https://www.mathsisfun.com/algebra/factoring-quadratics.html
We then get x = 7 and x = 3.
7 is the larger root,
I hope this helped,
Gavin
+4622 First, we take to move 21 to the other side.
x^2-10x=-21
x=3, one root
But, \(\boxed{x=7}\) is also another root, which is larger than x=3.
