When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus 2 when squared.

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Mathematics

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When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus 2 when squared.

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Luanaid Luanaid · Answer 1

Luanaid Luanaid

[tex]x-number\\\\ (x+3)^2-11=(x+2)^2\\\\ x^2+2*3*x+3^2-11=x^2+2*2*x+4\\\\ x^2+6x+9-11=x^2+4x+4\ \ |-x^2\\\\6x-2=4x+4\\\\6x-4x=4+2\\\\2x=6\ \ |:2\\\\ x=3 [/tex]

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