Question

What is the other root of quadratic equation 12x² + 243x - 189 = 0 if one of the root is -21?

Answer 1

Answer:

3/4

Step-by-step explanation:

Given:- one root is -21.

To find:- The other root (let it be x)

Comparing 12x² + 243x - 189 = 0 with ax² + bx + c = 0, we get

a = 12, b = 243, c = -189

According to Vieta's formula,

Product of roots = c/a = -189/12 = -63/4

So, -21x = -63/4

=> x = 3/4.

Therefore, the other root is 3/4