The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
9,10
10,11
11,12
12,13
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The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
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2
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The sum and the product of the roots of the quadratic equation x^{2} + 20x + 3 = 0 are?
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3
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Find the roots of the quadratic equation: 2x^{2} + 3x  9 = 0?
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4
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A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is
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5
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Find the roots of the quadratic equation: x^{2} + 2x  15 = 0?
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6
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One root of the quadratic equation x^{2}  12x + a = 0, is thrice the other. Find the value of a?
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7
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If the roots of the equation 2x^{2}  5x + b = 0 are in the ratio of 2:3, then find the value of b?
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8
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If a and b are the roots of the equation x^{2}  9x + 20 = 0, find the value of a^{2} + b^{2} + ab?
Solution 
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