Question

The roots of the quadratic equation 4x2 - 81 = 0 are​

Answer 1

Answer:

b square - 4ac= (-81)2 -4×4×0=6561-0

6561 is greater than 0

Answer 2

Concept:

Quadratic equations are the equation which is having the highest degree of the polynomial as 2.

Given:

The quadratic equation 4x² - 81 = 0.

Find:

The roots of the quadratic equation.

Solution:

Using the formula a² - b² = (a-b)(a+b)

Converting the eqaution 4x² - 81 = 0 in the form of (a-b)(a+b),

4x² - 81 = 0

(2x)² - 9² = 0

(2x - 9)( 2x + 9)=0

Substituting with zero and calculating the zeroes of the equation,

(2x - 9) = 0

x = 9/2

( 2x + 9)=0

x = - 9/2

Hence, the roots of the equation 4x² - 81 = 0 are 9/2 and - 9/2.

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