AMC / AIME · Vieta's Formulas · Medium

Vieta's Formulas: For math, find math.

Roots and coefficients.

Try the problem

For x2−5x+2=0x^2-5x+2=0, find 1α+1β\dfrac1{\alpha}+\dfrac1{\beta}.

Hint and answer

Concept to use

Symmetric transforms.

Hint

Sum over product of roots.

Answer

5/2

More Vieta's Formulas problems

Practice more with the free Vieta's Formulas worksheet generator, or browse the full problem library.