The roots of the quadratic \(x^2+8x+4\) are the same as the roots of the quadratic \(Ax^2+Bx+1\). What is \(A+B\)?
+118673 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.
