e. Verify 5 - 2 and 2-5.
Answers
Answered by
2
Answer:
5-2 is 3 and 2-5 is -3
Step-by-step explanation:
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Answered by
0
Answer:
Let f(x)=3x
3
−10x
2
−27x+10
5,−2 and
3
1
are the zeroes of the polynomial ( given )
Therefore,
f(5)=3(5)
3
−10(5)
2
−27(5)+10
=3×125−250−135+10
=0
f(−2)=3(−2)
3
−10(−2)
2
−27(−2)+10
−24−40+54+10
=0
f(1/3)=3(1/3)
3
−10(1/3)
2
−27(1/)3+10
=1/8−10/9−9+10
=0
Verify relations :
General form of cubic equation :ax
3
+bx
2
+cx+d
now ,
Consider α=5,β=−2 and y=
3
1
α+β+y=5−2+
3
1
=
3
10
=
a
−b
αβ+βy+αy=5(−2)+(−2)(
3
1
)+(5×
3
1
)=−10+
3
(−2)
+
3
5
=−9=
a
c
and αβy=5(−2)(
3
1
)=
3
−10
=
a
−d
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