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3 April, 22:10

Change from General Conic Form to Standard Form: 137+64y=-y^2-x^2-24x

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  1. 4 April, 00:50
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    (x + 12) ² + (y + 32) ² = 1031

    Step-by-step explanation:

    137 + 64y = - y² - x² - 24x

    Arrange the terms in descending powers of x and y.

    x² + 24x + y² + 64y = - 137

    Complete the squares for x and y

    (x² + 24x + 144) + (y² + 64y + 1024) = - 137 + 144 + 1024

    Write the equation as the squares of binomials of x and y

    (x + 12) ² + (y + 32) ² = 1031

    This is the equation of a circle with centre at (-12, - 32) and radius r = √1031.
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