If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?
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α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?
If A and B are the roots of the equation Ax2 – A2x + AB = 0, then what is the value of A and B respectively?
If x2 – 16x – 59 = 0, then what is the value of (x – 6)2 + [1/(x – 6)2]?
If a and b are the roots of the equation Px2 – Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?
α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?
If the difference between the roots of the equation Ax2 – Bx + C = 0 is 4, then which of the following is TRUE?
If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?
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