Question

What is the root of the equation x-3-2(6-2x) = 2(2x -5)

Answer 1

Step-by-step explanation:

let ,

x

3

−2x

2

−x+2=0 ___ (1)

x

3

+6x

2

+11x+6=0___(2)

now put x=1 in eq (1)

=1

3

−2×1

2

−1+2

=1−2−1+2⇒0

put x=1 in eq (2)

=1

3

+6×1

2

+11×1+6

=1+6+11+6⇒24

so x=1 is not a common root of both equations.

now put x=-1 in eq (1)

=−1

3

−2×−1

2

+1+2

=−1−2+1+2⇒0

put x=-1 in eq (2)

=−1

3

+6×−1

2

+11×−1+6

=−1+6−11+6⇒0

With similar x=±2 puts in both equations has no common roots finds.

∴x=−1 is the common roots of the equations.