Q17 of 168 Page 7

Find the roots of each of the following quadratic equations if they exist by the method of completing the squares:
x² + x + 3 = 0

x² + x = –3

Add the coefficient of to both sides

Since root cannot be negative

Therefore, it has no real roots.

Find the roots of each of the following quadratic equations if they exist by the method of completing the squares:

√5x² + 9x + 4√5 = 0

Find the roots of each of the following quadratic equations if they exist by the method of completing the squares:

2x² + √15 x + √2 = 0

Solve the following equations by the method of completion of a square.

5x² – 24x – 5 = 0

Solve the following equations by the method of completion of a square.

7x² – 13x – 2 = 0

Find the roots of each of the following quadratic equations if they exist by the method of completing the squares:x2 + x + 3 = 0