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Try yourself:The number of solutions of the equation |x|(6x^{2} + 1) = 5x^{2} is

[TITA 2019]

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Try yourself:The product of the distinct roots of |x^{2} - x - 6| = x + 2 is

[2019]

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Try yourself:What is the largest positive integer such that is also positive integer?

[2019]

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Try yourself:Let A be a real number. Then the roots of the equation x^{2} - 4x - log2A = 0 are real and distinct if and only if

[2019]

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Try yourself:The quadratic equation x^{2} + bx + c = 0 has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of b^{2} + c?

[2019]

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Try yourself:If u^{2 }+ (u−2v−1)^{2} = −4v(u + v), then what is the value of u + 3v?

[2018]

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Try yourself:The minimum possible value of the sum of the squares of the roots of the equation x^{2} + (a + 3)x - (a + 5) = 0 is

[2017]

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