Choose the correct answers for the following questions.

Solution:
B. x (x + 5) = 2
Explanation:
It is in the form of ax² + bx + c

(2.) Out of the following equations which one is not a quadratic equation?

A. x² + 4x = 11 + x²
B. x² = 4x
C. 5x² = 90
D. 2x – x² = x² + 5

Solution:
A. x² + 4x = 11 + x²
Explanation:
In all other options highest degree of equation is 2, which also the degree of quadratic equation. But in Option A, degree of polynomial is 1

(3.) The roots of x² + kx + k = 0 are real and equal, find k.
A. 0
B. 4
C. 0 or 4
D. 2

Solution:
C. 0 or 4
Explanation:

(4.) For √2x² – 5x + √ 2 = 0 find the value of the discriminant.
A. -5
B. 17
C. 2
D. 2 √2 – 5

Solution:
B. 17
Explanation:

(5.) Which of the following quadratic equations has roots 3, 5?
A. x² – 15x + 8 = 0
B. x² – 8x + 15 = 0
C. x² + 3x + 5 = 0
D. x² + 8x – 15 = 0

Solution:

B. x² – 8x + 15 = 0
Explanation:

(6.) Out of the following equations, find the equation having the sum of its roots -5.
A. 3x² – 15x + 3 = 0
B. x² – 5x + 3 = 0
C. x² + 3x – 5 = 0
D. 3x² + 15x + 3 = 0

Solution:

A. 3x² – 15x + 3 = 0
Explanation:

(7.) √5 m² – √5m + √5 = 0 which of the following statement is true for this given equation?
A. Real and unequal roots
B. Real and equal roots
C. Roots are not real
D. Three roots.

Solution:

C. Roots are not real
Explanation:

(8.) One of the roots of equation x² + mx – 5 = 0 is 2; find m.
A. -2
B. – ½
C. ½
D. 2

Solution:

C. ½
Explanation: