AP EAMCET2001MathematicsQuadratic Equation

20^ 2-3 x^2 =(40 5 )^ 3 x^2-2 , then x is equal to

Options

A3 2
B2 3
C4 3
D5 4

Correct answer

B. 2 3

Step-by-step solution

We have, (20)^ 2-3 x^2 =(40 5 )^ 3 x^2-2 On taking log on both sides, we get (2-3 x^2 ) 20= (3 x^2-2 ) 40 5 aligned & (2-3 x^2 )[2 2+ 5] & = (3 x^2-2 ) (3 2+ 3 2 5 ) & (3 x^2-2 ) [3 2+ 3 2 5+2 2+ 5 ]=0 & (3 x^2-2 )=0 x^2= 2 3 & x= 2 3 aligned

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