Vieta's Formulas (Easy)

Vieta's Formulas: core idea

• 1. Roots of $x^2-7x+10=0$ are $r,s$. Find $r+s$.

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• 2. If $r+s=6$ and $rs=5$, find $r^2+s^2$.

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• 3. Roots of $x^2-5x+6=0$ are $r,s$. Find $rs$.

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• 4. If $r+s=10$ and $rs=21$, find $r^2+s^2$.

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• 5. For $x^2-9x+20=0$, find the sum of the roots.

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• 6. If $r+s=4$ and $rs=3$, find $r^2+s^2$.

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• 7. For $x^2-6x+8=0$, find the product of the roots.

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• 8. If $r+s=12$ and $rs=20$, find $r^2+s^2$.

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• 9. Roots of $x^2-11x+24=0$ sum to what value?

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