Question

what is the value of x in (2x)×(2x)=36

Answer 1

(2x)×(2x)=36
=)4x^2=36
=)x^2=9
=)x=3

Answer 2

$\huge{\underline{\mathcal{Solution-}}}$

To find the value of x, we have ;

$(2x) \times (2x) = 36 \\ \\ 4x {}^{2} = 36 \\ \\ x {}^{2} = \frac{36}{4} \\ \\ x {}^{2} = 9 \\ \\ x = \sqrt{9} \\ \\x = \sqrt{3 \times 3} \\ \\ \therefore \: { \bold{x = 3}}$

Hence, from the above equation, we have found the value of x = 3.

VERIFICATION ;
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On substituting the value of x = 3 in the above equation :

(2x) × (2x) = 36

=> 2 ( 3 ) × 2 ( 3 ) = 36

=> 6 × 6 = 36

=> 36 = 36

·.· LHS = RHS.

Hence , the value of x = 3.

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Thanks for the question!