if alpha and beta are the zeroes of the polynomial 3x^2-10x+7,find the values of
1)alpha^2+beta^2
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hey mate
here is your answer
I am using @ as alpha and # as beta
given:
@ and # are the zeroes of the polynomial 3x²-10x+7
on comparing the equation with ax+bx+c
we get a=3 ,b=-10 and c=7
we know that
sum of the roots (@+#)=-b/a
=-(-10)/3
=10/3
product of the roots (@#)=c/a
=7/3
thus
@²+#²=(@+#)²-2@#
=(10/3)²-2*7/3
=100/9-14/3
=100-42/9
=58/9(answer)
here is your answer
I am using @ as alpha and # as beta
given:
@ and # are the zeroes of the polynomial 3x²-10x+7
on comparing the equation with ax+bx+c
we get a=3 ,b=-10 and c=7
we know that
sum of the roots (@+#)=-b/a
=-(-10)/3
=10/3
product of the roots (@#)=c/a
=7/3
thus
@²+#²=(@+#)²-2@#
=(10/3)²-2*7/3
=100/9-14/3
=100-42/9
=58/9(answer)
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