Question

Solve these questions plz 3 to 6 if any one knows even one then too plz answer need help guys...but I would really be obliged if u solve all my doubts..
Answer fast....plz

Answer 1

(iii)a²+ß²=24
a²+ß²+2aß-2aß=24
(a+ß)²-2aß=24
(-b/a)²-(c/a)=24
(b²-2ac)/a²=24
16-8k/k²=24
16-8k=24k²
0=24k²+8k-16
0=6k²+2k-4
0=(6k-4)(k+1)
k=2/3&-1


(iv) a²+ß²+aß=21/4
a²+ß²+2aß-aß=21/4
(a+ß)² -aß=21/4
(-b/a)²-(c/a)=21/4
25/4-k/2=21/4
25-2k=21
25-21=2k
4=2k
k=2.

(v) a²+ß²=40
a²+ß²+2aß-2aß=40
(a+ß)²-2aß=40
(-b/a)²-2(c/a)=40
64/1-2k/1=40
2k=64-40
2k=20
k=10

(vi) x²-x-2=0
x²-2x+x-2=0
x(x-2)+1(x-2)=0
(x+1)(x-2)=0
a=-1,ß=2

2a+1=2(-1)+1=1
2ß+1=2(2)+1=5

new eq.
(x-1)(x-5)
x²-5x-x+5
x²-6x+5...