hey guyss.plzz solve this.. 4,5,6,7,8... plzz its urgent
Answers
here is ur solution...
hope so it will help you...
4.) sum of roots is (alpha + beta ) = -b/a = -1
product of roots would be (alpha . beta) = c/a = 1
so 1/alpha + 1/ beta = (alpha + beta)/ alpha. beta
= -1/1 = -1
and alpha² + beta² = (alpha + beta)² - 2. alpha.beta
= (-1)² - 2.1
= -1
5. p(x) = x² -px +p
so product of roota = c/a =p ---1
and sum of roots = -b/a =p
and also , it's given
alpha.beta +alpha +beta +1 =0
= p+p +1 =0
= p= -1/2. , hence
c/1 = -1/2
c= -1/2
7.) sum of zeroes = -b/a = 15/25 = 3/5
- and Product would be = c/a = 2/25
for new equation
- sum of roots =
- 2alpha + 2beta/ 4. alpha.beta = 2(15/25)/4(2/25)
- = 30/8
and product of roots =
product of roots = 1/4(2/25)
=25/8
so formula for quadratic equation = x² - sum of roots.x + product of roots
= x² -30/8.p +25/8 = 0
= 8x² -30p +25 =0
left 6th and 8th. u can do it urself