Quadratics (Easy)

Quadratics: core idea

• 1. Find the positive root of $x^2-5x=0$.

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• 2. Solve $x^2-9=0$ for positive $x$.

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• 3. Find the roots' sum of $x^2-7x+10=0$.

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• 4. Find the roots' product of $x^2-8x+12=0$.

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• 5. Solve $x^2+3x=0$ for the nonzero root.

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• 6. Find the vertex $x$-coordinate of $y=x^2-6x+1$.

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• 7. Solve $(x-4)(x+2)=0$ for the larger root.

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• 8. Find $y$ when $y=x^2$ and $x=-5$.

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• 9. How many real roots does $x^2+1=0$ have?

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