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Vieta's Formula Quest

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Vieta's Formula Quest

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About this activity

Test your knowledge of roots sums and products.

Created by

Султан Аманбай
Султан Аманбай
Kazakhstan

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Vieta's Formula Quest
 

Vieta's Formula QuestOnline version

Test your knowledge of roots sums and products.

by Султан Аманбай
1

The sum of the roots of x^2 + 4x + 4 = 0 is 4.

2

In ax^2 + bx + c = 0 with a ≠ 0, the product of the roots is c/a.

3

For x^2 - 3x - 10 = 0, the product of the roots is 3.

4

If the roots are r1 and r2, then r1*r2 = -(c/a).

5

The sum of the roots of 2x^2 + x + 2 = 0 equals b/a = 1/2.

6

If the roots are r1 and r2 for x^2 + 2x - 3 = 0, then r1 + r2 = -2.

7

For any quadratic, the product of the roots is always 1.

8

For 3x^2 + 4x + 1 = 0, the product of the roots is 1/3.

9

For x^2 - 5x + 6 = 0, the sum of its roots is 5.

10

In ax^2 + bx + c = 0 with a ≠ 0, the sum of the roots is -b/a.

 
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