Elitmus
Exam
Numerical Ability
Number System
root X+3=X root X+3 how many solution???
Read Solution (Total 17)
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- root(x+3)=x root(x+3)
=>square both side
=>x+3=x2(x+3)
=>(x+3)(x2-1)
=>(x+3)(x+1)(x-1)
hence 3 solution is there - 9 years agoHelpfull: Yes(22) No(16)
- (X root x+3)- (root x+3)=0
solutions are two
1,-3 - 9 years agoHelpfull: Yes(17) No(5)
- it has three solutions (1,-1,-3)
Solution:
firstly squaring on both sides we get
(X+3)=X^2(X+3)
X^3+3(X^2)-X-3=0
on simplifying this equation we get
(X-1)((X^2)+4X+3)
on solving this we get
(X-1)(X+1)(X+3) Ans. 1,-1,-3 so three solution
- 9 years agoHelpfull: Yes(10) No(5)
- Given
root(x+3)=x root(x+3)---------------(1)
=> Taking square both side
=>x+3=x(x+3)^1/2
=>(x+3)(x^2-1)
=>(x+3)(x+1)(x-1)
now check for each values values in the eq.1
for x=-3 =>0=-3*0
0=0 possible one sol.
for x=-1 =>(-1+3)^1/2=-1*(-1+3)^1/2
root 2=-root 2 not possible
for x=-1 =>(1+3)^1/2=1*(1+3)^1/2
2=2 possible 2nd sol.
so total 2 solutions are possible - 9 years agoHelpfull: Yes(9) No(3)
- 1 solution bec root x+3 cancel and only 1 value is possible
- 9 years agoHelpfull: Yes(7) No(6)
- only one solution
since x=1 is satisfying above condition
- 9 years agoHelpfull: Yes(5) No(3)
- it has three solutions (1,-1,-3)
Solution:
firstly squaring on both sides we get
(X+3)=X^2(X+3)
X^3+3(X^2)-X-3=0
on simplifying this equation we get
(X-1)((X^2)+4X+3)
on solving this we get
(X-1)(X+1)(X+3) Ans. 1,-1,-3 so three solution
- 9 years agoHelpfull: Yes(3) No(4)
- there will two solution if we square both the side of equation.
-1 & +1 so there is definitely 2 solution.
here options are not given. so i can't say the correct ans - 9 years agoHelpfull: Yes(2) No(4)
- root of(x+3)=x root of(x+3)
square both side
root(x+3)^2=[x root(x+3)]^2
x+3=x^2*(x+3)
(x+3)divided by (x+3)=x^2
1=x^2
x=+1,-1
means two solution
- 9 years agoHelpfull: Yes(2) No(3)
- 2 solution.that is +1,-1
- 9 years agoHelpfull: Yes(1) No(0)
- When we are squaring both sides after finding out x we have to check whether LHS= RHS and if the condition satifies then the solution obtained is correct . In this case when we substitute X= -1 LHS# RHS and we have only 2 values for X
- 8 years agoHelpfull: Yes(1) No(0)
- the correct answer is 3
explanation:
root(x+3)-x root(x+3)=3
root(x+3)[1-x]=3 take root(x+3) is common
square both side
we get,
(x+3)(x-1)^2=9
we get 3 value of x. - 8 years agoHelpfull: Yes(1) No(0)
- 2 solution are possible
rootx(x-1)=0
x=1and x=0
- 9 years agoHelpfull: Yes(0) No(5)
- Only one solution possible - 1
- 9 years agoHelpfull: Yes(0) No(2)
- only one solution -3/2
=> x+3=x
square both sides, we get
=> x^2+6x+9=x^2
on simplifying it, we get
=> x= -3/2 - 9 years agoHelpfull: Yes(0) No(1)
- @Naveen Kumar we can not take G=8 as 8 is already given in the same row and we know every variable has unique value so it violates the basic rule of crypto.
So look for the different values of G. - 9 years agoHelpfull: Yes(0) No(2)
- Answer will be 0.
Because other than 0 root will not be zero - 8 years agoHelpfull: Yes(0) No(2)
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