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Question

Solve each of the following equations and also check your results in each case:

(xviii) 4x9+13+13x108=8x+1918

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Solution

Given : 4x9+13+13x108=8x+1918

4x9+13x1088x+1918=13

(4x×12)+(13x×1)(8x+19)6108=13

48x+13x48x114108=13

13x114108=13

(13x114)3=108

39x342=108

39x=108+342

39x=234

x=23439

x=6

To check : 4x9+13+13x108=8x+1918for x=6

L.H.S.=4x9+13+13x108

=4(6)9+13+13(6)108

=249+13+78108

=83+13+1318

=(8×6)+(1×6)+(13×1)18

=48+6+1318

=6718

R.H.S.=8x+1918

=8(6)+1918

=6718

L.H.S. = R.H.S.

Hence, the given equation is verified for x = 6.





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