Question

2
Without factorization find the nature of the roots of the quadratic equation
4x^2-12x + 9=0​

Answer 1

Answer:

real and distinct

Step-by-step explanation:

Given : 4x² - 12x - 9 = 0 . Therefore, root of the given equation 4x² - 12x - 9 = 0 are real and distinct. Hence, nature of roots of the quadratic equation 4x²− 12x − 9 = 0 are real and distinct

Answer 2

Answer:

The roots for the given quadratic equation are

x = 3/2 , 3/2

The roots are real and equal

Step-by-step explanation:

By using the Quadratic equation formula

-b +/- √b^2 - 4ac /2a

= 12 +/- √ 12^2 - 4(4)(9) /2(4)

= 12 +/- √ 144-144 /8

= 12 +/- 0 / 8

= 12 / 8

= 3/2