Question

(viz The root of 5x - 11 = x + 9 is 5​

Answer 1

SOLUTION

TO VERIFY

The root of 5x - 11 = x + 9 is 5

EVALUATION

Here the given equation is

$\displaystyle \sf{ 5x - 11 = x + 9}$

We find the root as below

$\displaystyle \sf{ 5x - 11 = x + 9}$

$\displaystyle \sf{ \implies 5x - x = 11 + 9}$

$\displaystyle \sf{ \implies 4x = 20}$

$\displaystyle \sf{ \implies x = \frac{20}{4} }$

$\displaystyle \sf{ \implies x = 5}$

Hence required root x = 5

VERIFICATION :

Here the given equation is

5x - 11 = x + 9

LHS = 5x - 11

RHS = x + 9

We now check x = 5 is a root or not

Putting x = 5 we get

LHS = ( 5 × 5 ) - 11 = 25 - 11 = 14

RHS = x + 9 = 5 + 9 = 14

∴ LHS = RHS

Hence verified

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