Question

$y ^{2} - 22y + 155 = 0$
solve this problem​

Answer 1

Answer:

Let us first check the nature of the roots by finding the discriminant b²- 4ac

= (-22)² - 4 x 2 x 155

= 484 - 1240 = - 756 < 0

Hence the given expression will have imaginary roots

Step-by-step explanation:

Solve this problem using quadratic formula

(-b ± √ b² - 4ac)/ 2a

= (22±√22² - 4 x 2 x 155)/ 2 x 2

= (22 ±√ 484 - 1240)/4

= (22±√-756)/4

= (11±√378i)/2

The roots are

(11+√378i)/2 and (11-√378i)/2 where i is iota = √-1