1
The roots of the equation 3 x
16 x +
+ 26 = 0 are
X
х
1) 1,1,2,
2) 1,3,5,1
3) 1,-1,2,1
4) 1,1,2,3
2
1
2.
71 x +
+ 5 = 0 is
The number of real roots of the equation 2 x+=
1
X
x
1) 1
2) 2
3) O
4) 4
B
=
3.
If a, ß are the roots of the equation 4x² - 5x +1 = 0, then
ß
a
5
1) 5
2)
0001
3)
4)
4
2
Answers
Answered by
1
Answer:
(a
2
−5a+3)x
2
+(3a−1)x+2=0
Let the roots be α
1
β, given β=2α
⇒3α=
(a
2
−5a+3)
−(3a−1)
…(1) (Sum of roots)
⇒2α
2
=
a
2
−5a+3
2
…(2) (Product of roots)
⇒
(a
2
−5a+3)
2
(3a−1)
2
=
a
2
−5a+3
9
⇒
(a
2
−5a+3)
2
(3a−1)
2
−9(a
2
−5a+3)
=0
⇒9a
2
−6a+1−9a
2
+45a−27=0
⇒39a−26=0
⇒a=
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