Question

(2x-3)^(2)+(2x+3)^(2)=(8x+6)(x-1)+22

Answer 1

To solve -

( 2x - 3 )² + ( 2x + 3)² = ( 8x + 6)( x - 1 ) + 22

=> 4x² - 12x + 9 + 4x² + 12x + 9 = 8x² - 8x + 6x - 6 + 22

=> 8x² + 18 = 8x² - 2x + 16

=> 18 = -2x + 16

=> 2x = -2

=> x = -1 .

This is the required answer .

Additional Information -

( a + b )² = a² + 2ab + b²

( a - b )² = a² - 2ab + b²

( a + b )( a - b ) = a² - b²

( a + b )² + ( a - b )² = 2( a² + b² )

( a + b )² - ( a - b )² = 4ab

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