Latest Tech Mahindra Aptitude Question SOLUTION: if a^2+b^2+2b+4a+5=0 then what is the value of a-b/a+b.

• Placement Papers
• /
• Tech Mahindra
• /
• Numerical Ability
• /
• Algebra

Tech Mahindra Question Papers: Tech Mahindra Interview Experience(11) TECH MAHINDRA Company Profile

(#M40038979) TECH MAHINDRA Numerical Ability question Keep an EYE

if a^2+b^2+2b+4a+5=0 then what is the value of a-b/a+b.

Asked In Tech Mahindra Radhamohan Sharma (9 years ago)

Unsolved Read Solution (8)

Is this Puzzle helpful?   (38)   (11) Submit Your Solution Algebra

Read Solution (8) :

RAKESH  (9 years ago)

a^2+b^2+2b+4a+5=0
=> (a^2+4a+4)+(b^2+2b+1)= 0
=> (a+2)^2 + (b+1)^2 = 0
=> a+2 = 0 & b+1 = 0
=> a = -2 & b = -1

a-b/a+b = -2+1 / -2-1 = 1/3

Is this solution Helpfull? Yes (71) | No (1)  

Sourav ganguly  (9 years ago)

a^2+b^2+2b+4a+5=0
=> (a^2+4a+4)+(b^2+2b+1)= 0
=> (a+2)^2+(b+1)^2 = 0

when sum of two or more squares is 0 then individual term must be 0
so a= -2 & b=-1

Is this solution Helpfull? Yes (6) | No   

Ayush Jain  (9 years ago)

a=-2,b=-1.

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

Anant Vardhan  (9 years ago)

1/3.
=> a^2 + b^2 +2b + 4a + 5 = 0 is to be rewritten in the following way :
=> a^2 + 4a + b^2 + 2b + (4+1) = 0
=> (a^2 + 2.2.a + 4) + b^2 + 2.1.b + 1 = 0
=> (a^2 + 2.2.a + 2^2) + (b^2 + 2.1.b + 1^2) = 0
=> (a+2)^2 + (b+1)^2 = 0 as a^2 + b^2 + 2.a.b = (a+b)^2
By this we get :
a = -2 and b = -1
Putting values of a and b in (a-b)/(a+b) we get 1/3 answer.

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

Rajitha Nasika  (9 years ago)

(a^2+4a+4)+(b^2+2b+1)=0
=>(a+2)^2+(b+1)^2=0
=>a+2=0&b+1=0
=>a=-2&b=-1
=>a-b/a+b=-2+1/-2-1
=>-1/-3
=>1/3

Is this solution Helpfull? Yes (1) | No   

MUNISH YADAV  (9 years ago)

@RAKESH thanks bhai

Is this solution Helpfull? Yes | No (2)  

Surit Datta  (9 years ago)

a-b/a+b = 1/3

Is this solution Helpfull? Yes | No (2)  

SAUNAK BANDYOPADHYAY  (8 years ago)

a^2+4*a+4+b^2+2*b+1=0
a^2+2*(a)*2+2^2+b^2+2*b+1^2=0
(a+2)^2+(b+1)^2=0

it means
(a+2)=0 and (b+1)=0, b=(-1)
a=(-2)

now a-b=(-2-(-1))=(-2+1)=-1
and a+b=(-2+(-1))=(-2-1)=-3

now a-b/a+b=(-1)/(-3)=1/3

so 1/3 is the ans

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.