Q1 of 58 Page 123

Find the nature of the roots of the following quadratic equation. If real roots exist, find them:
3x² - 4√3 x + 4 = 0

3x² - 4√3 x + 4 = 0

Discriminant = ( - 4√3)² - 4 × 3 × 4 = 0

Since The Discriminant is zero so the roots are equal

The roots are

If a polygon of ‘n’ sides has diagonals. How many sides will a polygon having 65 diagonals? Is there a polygon with 50 diagonals?

Find the nature of the roots of the following quadratic equation. If real roots exist, find them:

2x² - 3x + 5 = 0

Find the nature of the roots of the following quadratic equation. If real roots exist, find them:

2x² - 6x + 3 = 0

Find the value of k for each of the following quadratic equation, so that they have two equal roots.

2x² + kx + 3 = 0

Questions · 58

5. Quadratic Equations

1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10 1 1 1 1 2 2 2 2 3 3 4 5 6 7 8 9 10 11 12 13 1 1 1 2 2 3 4 5

Find the nature of the roots of the following quadratic equation. If real roots exist, find them:3x2 - 4√3 x + 4 = 0