The roots of the quadratic [MATH]x^2+8x+4[/MATH] are the same as the roots of the quadratic [MATH]Ax^2+Bx+1[/MATH]. What is [MATH]A+B[/MATH]?
I tried using the quadratic formula on both quadratics,
[MATH]x=\frac{-b\pm \sqrt{b^2-4a}}{2a}[/MATH]
[MATH]x=-4\pm2\sqrt{3}[/MATH]
then setting then equal to each other.
[MATH]\frac{-b\pm \sqrt{b^2-4a}}{2a}=-4\pm2\sqrt{3}[/MATH]
but when I try to solve for [MATH]a[/MATH] and [MATH]b[/MATH] it doesn't work.
I tried using the quadratic formula on both quadratics,
[MATH]x=\frac{-b\pm \sqrt{b^2-4a}}{2a}[/MATH]
[MATH]x=-4\pm2\sqrt{3}[/MATH]
then setting then equal to each other.
[MATH]\frac{-b\pm \sqrt{b^2-4a}}{2a}=-4\pm2\sqrt{3}[/MATH]
but when I try to solve for [MATH]a[/MATH] and [MATH]b[/MATH] it doesn't work.