Question

(ii) What is the nature of the roots of the quadratic equation x² – 3x - 4 = 0?
(A)Real
(B) Real and equal
(C) Not real
(D) Real and unequal
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Answer 1

Answer: What is the nature of the roots of the quadratic equation x² – 3x - 4 =0

(A)Real

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Answer 2

Answer:

(D) Real and unequal

Explanation:

The general formula of a quadratic equation is → ax² + bx + c

For finding the nature of roots of a quadratic equation, we always use the concept of discriminant.

Use the below mentioned formula:

D = b² - 4ac

Where:

• D is discriminant
• b is the coefficient of x
• a is the coefficient of x²
• c is the constant

Applying the formula;

D = b² - 4ac

⇒ D = (-3)² - [4 (1) (-4)]

⇒ D = 9 - (-16)

⇒ D = 9 + 16

⇒ D = 25

So, the given Quadratic equation has roots which are real and distinct.

Know more:

• If D > 0, the roots are real and distinct.
• If D = 0, roots are real and equal.
• If D < 0, roots are imaginary.