The roots of the quadratic \(x^2+8x+4\) are the same as the roots of the quadratic \(Ax^2+Bx+1\). What is \(A+B\)?

Guest Apr 6, 2020

#5**+1 **

The roots of the quadratic \(x^2+8x+4\) are the same as the roots of the quadratic \(Ax^2+Bx+1\).

What is \(A+B\)?

\(x^2+8x+4=4(0.25x^2+2x+1)\\ so\\ 0.25x^2+2x+1 \qquad \text{has the same roots}\\ A+B=2.25\)

It should also be noted that 3 points defines a parabola so this is the only answer.

Melody Apr 7, 2020