if alpha beta are the roots of the equation x² 4x 6=0. find the equation whose roots are 1/alpha and 1/beta?

JamesMark22

2 years ago

If α and β are the roots of the equation x²+4x+6=0, then the equation with roots
1/α and 1/β can be formed by taking reciprocals.

The new equation is
ax²+bx+c=0, where: a=¹/αβ​, b=¹/α + ¹/b, c=¹/αβ
​


So, the equation is ¹/αβx² + (¹/α+¹/β)x + ¹/αβ=0.