If {7/x} + {(x+3)/2} = 6, then sum of all the possible values of x is?

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12 Apr 2010 Sum of Roots

If {7/x} + {(x+3)/2} = 6, then sum of all the possible values of x is?

OPtion

1) 8
2) 7.5
3) 6
4) 9
5) 7
6) 4.5
7) 2
8) 6.8
9) 9.8
10) 3

Solution

{7/x} + {(x+3)/2} = 6
implies (14+x2+3x)/2x = 6
implies (14+x2+3x) = 12x
implies x2-9x+14 = 0
implies x = 2, 7
hence sum of values of x = 2+7 = 9

Correct Option: 4 Best Solution (19)

Pargat Pal Singh   15 years AGO

{7/x} + {(x+3)/2} = 6, ...
14+x^2+3*x= 12 x.....
means ..
x^2-9x+14=0,

solving this , we get possible values of x as 2 and 7.

sum of possible values = 2+7 =9... option 4

Like? Yes (1) | No   

Dr.Dipin Singh   15 years AGO

{7/x} + {(x+3)/2} = 6, or

x^2-9x+14=0, then possible values of x are 7 and 2.

sum of possible values = 7+2=9

Like? Yes (1) | No   

Karthik Pandiyan   15 years AGO

Ans:9
on solving the given fraction we get eqn as
x^2-9x+14=0
on solving the above equation, we get x=7 and x=2
sum of all possible values of x=9

Like? Yes (1) | No   

karan    15 years AGO

x=2,x=7

Like? Yes (1) | No   

Dolly   15 years AGO

{7/x} + {(x+3)/2} = 6,
x=2 and x=7

sum = 2+7=9

Like? Yes (1) | No   

HARMEET KAUR   15 years AGO

{7/x} + {(x+3)/2} = 6,

14+x^2+3*x= 12*x

x^2-9x+14=0,

possible values of x are 2 and 7.

sum of possible values = 2+7 =9

Like? Yes (1) | No   

S. Singh   15 years AGO

{7/x} + {(x+3)/2} = 6, ...

x^2-9x+14=0,

possible values of x = 2 and 7.

sum of possible values = 2+7 =9

Like? Yes (1) | No   

Karan   15 years AGO

{7/x} + {(x+3)/2} = 6,
simplifying it, we have
x^2-9x+14=0, then possible values of x are 2 and 7.

sum of possible values = 7+2=9

Like? Yes (1) | No   

Bawa   15 years AGO

x=2, x=7, sum = 2+7=9

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ASHOK ROY   15 years AGO

Solution of equation is x=2 or 7 which means sum of possible values of x = 7 + 2=9

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hitesh gakhar   15 years AGO

{7/x} + {(x+3)/2} = 6

=> x=2 or 7...
sum =9

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MP    15 years AGO

x=2 and x=7. sum =2+7=9

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sanjib biswas   15 years AGO

by simplify the equation we get x^2-9x+14=0 value of x are 2 , 7 and its sum 9

Like? Yes (1) | No   

Ashu   15 years AGO

x=2,7
sum of 2 and 7 is 9.

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SUDESHNA SEN   15 years AGO

{7/x} + {(x+3)/2} = 6,
or, (14+x2+3x)/2x=6,
or, (14+x2+3x)= 12x,
or, x2-9x+14=0,
or, x2-2x-7x+14=0,
or, x(x-2)-7(x-2)=0,
or, (x-2)(x-7)=0.
Therefore, x= 2,7.
So, sum of all the possible values of x is 9.....Option 4).

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Garima   15 years AGO

x=2,7 satisfy given equation.

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Jeevan   15 years AGO

{7/x} + {(x+3)/2} = 6,
14+x^2+3*x= 12 x.....
or
x^2-9x+14=0,

solve it to get possible values of x as 2 and 7.

sum of possible values = 2+7 =9

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sivakumar   15 years AGO

possible values are 7,2 and their sum is 9.

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susmit   15 years AGO

AFTER SOLVING WE GET X=7 AND X=2. SO X+Y =9

Like? Yes (1) | No