Engineering Mechanics - General Principles - Discussion

Discussion Forum : General Principles - General Questions (Q.No. 9)
9.
Solve the following equation for the two roots of x:   — x2 + 5x = — 6
x = 2,   3
x = –1,   –5
x = –1,   6
x = –0.742,   6.74
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
13 comments Page 1 of 2.

Devesh said:   1 decade ago
-x*x+5x+6=0
-x*x-x+6x+6=0
-x(x+1)+6(x+1)=0
(x+1)(-x+6)=0
then x,x= -1&6

M.prakash said:   1 decade ago
Solve and explain?

Damodaran said:   1 decade ago
See its simple we have two numbers for the value of x right by multiplying -1*6 we get -6 and by the same way sum these numbers we got 5 thats it got two values its simple.

Jugal panchal said:   1 decade ago
This answer -1 & 6 gives -x^2.

But wr need anseer +x^2 hence answer
x_2&3 is right.

Praveen said:   1 decade ago
Changing equation into x^2-5x-6=0 then
Here sum=-5 and product=-6 in the (x+a)(x+b)
ie, (x+1)(x-6)=0
ie,x=-1,6

Amasidda said:   1 decade ago
Answer is "c" x^2-5x+6=0.

x(x-2) -3 (x-2) =0.

So x=2, 3 is the right answer.

Velmurugan said:   1 decade ago
And if you convert to - into + the equation become
X^2-5x-6=0 so answer was x+1 and x-6

Ogesupolaki said:   1 decade ago
Hi friends ,

given equ..-x2+5x=-6
change to x2-5x=6 then
x2-5x+6=0
x2-3x-2x+6=0
x(x-3)-2(x-3)=0
(x-3) (x-2) =0
so answer x=3 & x=2

Sainath said:   1 decade ago
My dear friends answer (-1,6) is right..

@ogesupolaki, the equation mentioned by you is wrong..
the correct way is
-x2+5x-6=0
-x2-x+x+5x-6=0
-x(x-1)+6(x-1)=0
(x-1)(x+6)=0
x=1
x=-6

Mohsin said:   1 decade ago
If we put,

X=2 then the answer will be like that

-(4)+(5)(2)=+6 which is not correct

If X=3 then

-(9)+(5)(3)=+6

That's why (-1,6) is right.


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