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Q.


Solve the linear equation x 2 − 1 5 = x 3 + 1 4   .

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a

x= 27 10  

b

x= 35 10  

c

x= 42 10  

d

x= 56 10    

answer is A.

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Detailed Solution


Given equation x 2 − 1 5 = x 3 + 1 4  .
Transposing x 3   to the left-hand side and − 1 5   to the right-hand side.
⇒ x 2 − x 3 = 1 4 + 1 5  
Taking the LCM of (2, 3) and (4, 5).
⇒ 3x−2x 6 = 5+4 20 ⇒ x 6 = 9 20 ⇒x= 54 20 ⇒x= 27 10  
Hence, the value of variable x is 27 10  .
Correct option is 1.
 
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