What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform

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What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform it to principal axes. Express x=  [x1    x2] in terms of the new coordinate vector yT = [y1    y2], as in Example 6.

-11x12 + 84x1x2 + 24x22 = 156

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