Latest Elitmus Aptitude Question SOLUTION: Find the sum of roots for---sq root of(x+7)=x. sq root of(x+7)??? asked in e litmus 23rd nov 2014 @Bangaluru

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Find the sum of roots for---sq root of(x+7)=x. sq root of(x+7)??? asked in e litmus 23rd nov 2014 @Bangaluru

Asked In Elitmus Ashish Ranjan (10 years ago)

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monaj roy  (10 years ago)

sqrt(x+7)-x*sqrt(x+7)=0
sqrt(x+7)(1-x)=0 => x=-7 or 1
squaring both sides
x+7=x^2*(x+7)=>x^2=1 =>x=+-1
thus the values of x are +1,-1,-7
but if we put -1 the original equation we will get imaginary numbers which cant be compared thus we can say that there will be only 2 solution i.e x=1,-7
so ans is -6

Is this solution Helpfull? Yes (18) | No (1)  

Prasant Poddar  (10 years ago)

I think ans will be -7

sq root of (x+7) = x.sq root of (x+7)
squaring both side, we get
=>(x+7) = x^2 (x+7) // In eqn
=> x^2(x+7) - (x+7) = 0
=> (x+7) (x^2 -1) = 0
so roots are= 1,-1,-7

so sum of roots are = -7

Is this solution Helpfull? Yes (10) | No (15)  

Yogesh Sharma  (10 years ago)

I think ans =0
because as the eqn.....sq root of(x+7)=x. sq root of(x+7)..... is only satisfied by values of x=-1 and +1
So the sum os roots =-1+1=0...

Is this solution Helpfull? Yes (2) | No (3)  

prabhakar singh  (10 years ago)

answer will be -6
Reason: sqrt(x+7) {+ve no.} = x. sqrt(x+7){+ve no.} thats mean either x must be +ve or x+7=0
so only x=1 and (x+7 = 0) are possible solution

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ANANT VIKRAM SINGH  (10 years ago)

after simplifying.....
x+7=x2 (x+7)
x2=1
x=+-1
sum of roots=0

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karunya  (10 years ago)

Sq.root(x+7)=x*Sq.root(x+7)
taking squares on both sides
(x+7)=x^2 *(x+7)
(x+7)/(x+7) = x^2
1=x^2
+ or - Sq.root(1)=x
+ or - 1=x

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rameswarappa  (10 years ago)

sqr root of(x+7)=x.sqr root of(x+7)
(x+7)=x^2(x+7)
x^2=1
then the result is +1 or -1

Is this solution Helpfull? Yes | No (2)  

Sudha  (10 years ago)

sq root of (x+7) = x.sq root of (x+7)
S.O .B.S
(x+7)=x^2(x+7)
=> x^2=1
=> x=1,-1
sum of roots=1-1
=0

Is this solution Helpfull? Yes | No (1)  

shrishti singh  (9 years ago)

the two roots are -7 and 1 so there sum is -6

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