xxcrybaby xxcrybaby
  • 22-12-2018
  • Mathematics
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please answer with process

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Rinkhals
Rinkhals Rinkhals
  • 22-12-2018

[tex]\mathsf{Given : a - b = 5}[/tex]

[tex]\mathsf{Squaring\;on\;both\;sides,\;we\;get :}[/tex]

[tex]\mathsf{\implies (a - b)^2 = 5^2}[/tex]

[tex]\mathsf{\implies a^2 + b^2 - 2(a.b) = 25}[/tex]

[tex]\mathsf{Given : a^2 + b^2 = 29}[/tex]

[tex]\mathsf{\implies 29 - 2(a.b) = 25}[/tex]

[tex]\mathsf{\implies 2(a.b) = 29 - 25}[/tex]

[tex]\mathsf{\implies 2(a.b) = 4}[/tex]

[tex]\mathsf{\implies (a.b) = 2}[/tex]

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