jonasjkjt jonasjkjt

01-05-2022
Mathematics

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If x^2 - 6xy = z - 9y^2, make x the subject of the formula

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loneguy loneguy

01-05-2022

[tex]~~~~x^2-6xy=z-9y^2\\\\\implies x^2- 2\cdot x\cdot 3y + (3y)^2 - (3y)^2 = z-9y^2\\ \\\implies (x-3y)^2 -9y^2 = z-9y^2\\\\\implies (x-3y)^2 = z\\\\\implies x - 3y =\pm\sqrt z\\\\\implies x = 3y\pm\sqrt z[/tex]

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