+0  
 
0
88
1
avatar

The roots of x^2 + 8x + 4 are the same as the roots of Ax^2 + x + B . What is A + B?

 Apr 20, 2022
 #1
avatar+9459 
+1

If two quadratic polynomials have the exact same roots, then one of them is a multiple of the other.

 

Judging by the coefficients of x, Ax^2 + x + B should be 1/8 times of x^2 + 8x + 4.

 

You can continue by expanding \(\dfrac18 (x^2 + 8x + 4)\) and finding the coefficient of x^2 and the constant term.

 Apr 20, 2022

33 Online Users

avatar