22. If a and B are the zeros of the polynomial f(x) = 6x2 + x-2, find the
value of a/b+ b/a
Answers
Answered by
1
Answer:
6x^× +x—2 =0
a and b are zeroes of QUADRATIC EQUATION
6x^2 +4x--3x -2 =0 ( 6× -2 =--12 4×--3= --12 +4--3 =1)
2x(3x +2 ) -- 1(3x+2) =0
(2x-1 ) (3x+-2) =0
2x=1. x=1/2
3x=--2
x= --2/3
a = --2/3. b. . =1/2
Find the value of a/b +b/a
a/b = -- 4/3 b/ a = --3/4
a/b+b/a = -- 4/3 -- 3/4 = (—16 --9) /12 = --25 /12
The required value is --25/12
Step-by-step explanation:
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Answered by
0
Step-by-step explanation:
f(x)=6x
2
+x−2
a,b are its zero's / roots.
a+b=
6
−1
,ab=
6
−2
=−1/3
b
a
+
a
b
=
ab
a
2
+b
2
=
ab
(a+b)
2
−2ab
=
(−1/3)
(−1/6)
2
−2(−1/3)
=
−1/3
36
1
+
3
2
=−(
12
1
+2)=
12
−25
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