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9x -18y2 -4x -8y -15
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Answer:
3 x - 6 y - 2/3 = √ 139/9
Step-by-step explanation:
9 ( x - 2 y )² - 4 ( x - 2 y) - 15 = 0
9 ( x² + 4 y² - 4 x * y) - 4 x + 8 y - 15 = 0
9 x² + 36 y² - 36 x * y - 4 x + 8 y - 15 = 0
Add and subtract (2/3)²
9 x² + 36 y² - 36 x * y + 2 * 3 x * (-2/3) + 2 * ( -6 y) ( - 2/3) - 15 + (2/3)² - (2/3)² = 0
it forms ( a+ b + c)² = a² + b² + c² + 2 ab +2 bc + 2 ca
9 x² + 36 y² - 36 x * y - 2 * 3 x * (2/3) + 2 * 6 y ( 2/3) + (2/3)² = 15 + 4/9
( 3 x - 6 y - 2/3)² = 135 + 4 /9 = 139/9
3 x - 6 y - 2/3 = √ 139/9
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