Question

x²+(x+2)²=244 solve this problem​

Answer 1

Given :-

$\sf \bullet \;\; x^{2} + (x+2)^{2} = 244$

Solution :-

$\sf : \; \implies x^{2} + (x+2)^{2} = 244$

~As we know that,  

     ( a + b )² = a² + b² + 2ab

$\sf : \; \implies x^{2} + x^{2} + 4 + 4x = 244$

$\sf : \; \implies x^{2} + \{ x^{2} + 2^{2} + ( 2 \times 2 \times x ) \} = 244$

$\sf : \; \implies 2x^{2} + 4x + 4 -244 = 0$

$\sf : \; \implies 2x^{2} + 4x -240 = 0$

~Dividing both sides of equation by 2

$\sf : \; \implies \dfrac{2x^{2} + 4x -240}{2} = \dfrac{0}{2}$

$\sf : \; \implies x^{2} + 2x -120 = 0$

$\sf : \; \implies x^{2} -10x + 12x -120 = 0$

$\sf : \; \implies x( x-10 ) + 12(x-10 ) = 0$

$\sf : \; \implies ( x-10 )( x + 12 ) = 0$

$\sf : \; \implies x -10 = 0$

$\sf : \; \implies x = 0 + 10$

$\boxed{\bf{ \star \;\; x = 10 }}$

    Or

$\sf : \; \implies x +12 = 0$

$\sf : \; \implies x = 0-12$

$\boxed{\bf{ \star \;\; x = -12 }}$

Answer 2

Answer:

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Step-by-step explanation: