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  • 24-09-2019
  • Mathematics
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simply
(2k-9)^2+(k+2)^2=(2k+1)^2+(k-8)^2

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Аноним Аноним
  • 24-09-2019

The square of a binomial expands as follows:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Expanding all the binomials, we have

[tex]4k^2-36k+81+k^2+4k+4=4k^2+4k+1+k^2-16k+64[/tex]

Sum like terms:

[tex]5k^2-32k+85=5k^2-12k+65[/tex]

Simplify terms appearing on both sides:

[tex]-32k+85=-12k+65[/tex]

Move all terms involving k to the left and all numbers to the right:

[tex]-20k=-20[/tex]

Divide both sides by -20:

[tex]k=1[/tex]

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