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Numerical Ability
Algebra
if m+ (m-3)-1 = 6 then determine the value of (m-3)2 + (m-3)-2
a. 3 b -1 c. 1 d. 0
Read Solution (Total 16)
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- given (m) + (m-3)^-1 = 6.
now split 6 as 3+3 and then send one of the 3 to the other side of equal to then the equation becomes as
(m-3) + (m-3)^-1 = 3 now take m-3=x
x+(1/x)=3.
[ x+(1/x)]^2 = 9
(x)^2 + (1/x)^2 + 2 = 9 now by resubstituting x=m-3
(m-3)^2 + (1/m-3)^2 = 7 - 9 years agoHelpfull: Yes(19) No(9)
- m=5 substitute in the given equations i.e.,5+(5-3)-1=6,(5-3)2+(5-3)-2=4 , so ans=4
- 9 years agoHelpfull: Yes(15) No(15)
- 2m-6-2m+6=0
- 9 years agoHelpfull: Yes(10) No(8)
- Given 2m-4=6
m-2=3
m-3=2(add -1 on both sides)
substitute in (m-3)2+(m-3)-2
=(2)2+2-2
=4
so ans=4 - 9 years agoHelpfull: Yes(6) No(2)
- D.0
2m-6-2m+6=0
- 9 years agoHelpfull: Yes(4) No(5)
- By solving the first eq we get m=1
substitute m value in second eqn
i.e., (1-3)^2+(1-3)-2=0 - 9 years agoHelpfull: Yes(3) No(0)
- Answer is purely based on whether that is (m-3)*(-2) or just (m-3)-2
- 9 years agoHelpfull: Yes(2) No(0)
- m+(m-3)-1=6
2m-4=6
2m=10
m=5 ,so (m-3)2+(m-3)-2 = (5-3)2+(5-3)-2 =0
- 9 years agoHelpfull: Yes(2) No(2)
- m=6
6-6=0 - 9 years agoHelpfull: Yes(1) No(0)
- m+(m-3)-1=6
2m-4=6
2m=10
m=5
now substitute value in equation 2
(5-3)2+(5-3)-2
2(2)+0
4
so ans is 4 - 9 years agoHelpfull: Yes(1) No(3)
- m(m-3)-1=6
m+m-4=6
m=5
So,
put value in given ,
(m-3)2+(m-3)-2=4 - 9 years agoHelpfull: Yes(1) No(4)
- m+(m-3)-1=6
2m-3-1=6
2m-4=6
2m=10
m=5
put this m=5 in second equation, we get
(5-3)2+(5-3)-2
2(2)+(2)-2
4+0= 4
ans is 4. - 8 years agoHelpfull: Yes(1) No(0)
- the options are wrong.... the ans is 4
solving 1st eqn, m=5, putting in 2nd function ans is 4 - 8 years agoHelpfull: Yes(1) No(0)
- answer is 4
- 9 years agoHelpfull: Yes(0) No(1)
- on solving eqn we get m=5
then put value of m in another eqn
we get m=4
ans=4 - 9 years agoHelpfull: Yes(0) No(3)
- By substituting m=(5-3)2+(5-3)-2=5-6+5-3=10-9ansr is 1 option c , calculation is done based on bodmas rule
- 8 years agoHelpfull: Yes(0) No(3)
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