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If one root of the equation 2×2 + 3x – k = 0 is 6, what is the value of k ?

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If, 2×2 + 4x − 5 = x2 +2x + x2 + 5, then x2 =

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The product of two numbers is 45 and their difference is 4. The sum squares of the two numbers is ?

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The set of values of p for which the roots of the equation 3×2 + 2x + p(p − 1) = 0 are of opposite sign is ?

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