What are the coordinates of B and D? Is the point (16,20) on line ℓ? Explain how you know. Is the point (20,24) on line ℓ? Explain how you know. Is the point (80,100) on line ℓ? Explain how you know. Write a rule that would allow you to test whether (x,y) is on line ℓ.

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tristenmathews

02.01.2023

Mathematics

$\implies 2x^2+2y^2=10$
$\implies x^2+y^2=5$
$\implies (x^2+y^2)^2=x^4+2x^2y^2+y^4=25$

(x+y)^4+(x-y)^4=98

$\implies 2x^4+12x^2y^2+2y^4=98$
$\implies x^4+6x^2y^2+y^4=49$
$\implies 25+4x^2y^2=49$

4x^2y^2=24

$\implies x^2y^2=6$
$\implies xy=\sqrt6$

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