Math, asked by kavitakhurana704, 1 month ago

determine by substitution,if 2 is the root of 2x-3=1​

Answers

Answered by yashnikhare962
0

Step-by-step explanation:

Given to check whether 3 is a root of the equation

x

2

−4x+3

+

x

2

−9

=

4x

2

−14x+16

Here,

LHS=

x

2

−4x+3

+

x

2

−9

and RHS=

4x

2

−14x+16

Substitute x=3 in LHS

3

2

−4(3)+3

+

3

2

−9

9−12+3

+

9−9

0

+

0

=0

∴LHS=0

Similarly substitute x=3 in RHS

4(3)

2

−14(3)+16

4×9−42+16

36−42+16

52−42

=

10

∴RHS=

10

Now, we can observe that

LHS

=RHS

∴x=3 is not a solution or root for the equation

x

2

−4x+3

+

x

2

−9

=

4x

2

−14x+16

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