x²+(x+5)²=697. find value of x
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ʜᴇy ᴜꜱᴇʀ
ʜᴇʀᴇ ɪꜱ yᴏᴜʀ ᴀɴꜱᴡᴇʀ :-
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x² + ( x + 5 )² = 697
=> x² + x² + 10x + 25 = 697
=> 2x² + 10x + 25 - 697 = 0
=> 2x² + 10x - 672 = 0
=> x² + 5x - 336 = 0
=> x² + 16x - 21x - 336 = 0
=> x ( x + 16 ) - 21 ( x + 16 ) = 0
=> ( x + 16 )( x - 21 ) = 0
x + 16 = 0. ᴏʀ. x - 21 = 0
x = - 16. ᴏʀ. x = 21
ʜᴇʀᴇ ɪꜱ yᴏᴜʀ ᴀɴꜱᴡᴇʀ :-
_____________________________
x² + ( x + 5 )² = 697
=> x² + x² + 10x + 25 = 697
=> 2x² + 10x + 25 - 697 = 0
=> 2x² + 10x - 672 = 0
=> x² + 5x - 336 = 0
=> x² + 16x - 21x - 336 = 0
=> x ( x + 16 ) - 21 ( x + 16 ) = 0
=> ( x + 16 )( x - 21 ) = 0
x + 16 = 0. ᴏʀ. x - 21 = 0
x = - 16. ᴏʀ. x = 21
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