Loading [MathJax]/jax/output/SVG/jax.js
 
+0  
 
0
33
1
avatar+43 

Therealnumbersc,b,aformanarithmeticsequencewitha>bc0.Thequadraticax2+bx+chasexactlyoneroot.Whatisthisroot?

 Mar 28, 2024
 #1
avatar+1271 
0

Problem: The real numbers $c, b, a$ form an arithmetic sequence with $a\ge b\ge c\ge 0$. The quadratic $ax^2+bx+c$ has exactly one root. What is this root?

 

Using the discriminant, you can work out that the answer is -7 - 4*sqrt(3).

 Mar 30, 2024

1 Online Users