If 2x-3y-2x2-m- express -m- in terms of x and y-

Given, 2x = 3y + √(2x^2 + m ) = gt; 2x 3y = √(2x^2 + m ) Squaring both sides, 4x^2 + 9y^2 12xy = 2x^2 + m = gt; m = 2x^2 + 9y^2 ...

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Integration of Piecewise Continuous Functions

If 2x=3y+√2...

Question

If $2 x = 3 y + \sqrt{2 x^{2} + m}$ , express 'm' in terms of x and y.

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Solution

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If 2x – 3y = 1, then express $4 x^{2} - 2 x + 3$ in terms of y.

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m

x

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m

2 x = 3 y

\frac{x}{y} = \frac{2 m - 3}{2 - 3 m}

2 x = y = 10

\frac{x}{3 y} = \frac{y}{2 x - 5 y} = \frac{6 x - 15 y}{x}

(- 4 x^{2} + 36 y - 8)

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