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.

Gayathri said:   10 years ago
x2-5x = 6.
x2-5x-6 = 0.

x2-6x+x-6 = 0.
x(x-6)+1(x-6) = 0.

(x-6) = 0,(x+1) = 0.
x = 6,-1.

NAYAN said:   1 decade ago
x^2-5x-6 = 0.
x^2-(3+2)x-6 = 0.

x^2-3x+2x-6 = 0.
x(x-2)+2(x-3) = 0.

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

Don said:   1 decade ago
We can write the equation:

x^2-5x+6 = 0.
x^2-2x-3x+6 = 0.
x(x-2)-3(x-2) = 0.
(x-2)(x-3) = 0.

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

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.

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

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

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

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.

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

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.


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