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Test: Quadratic Equations- 1 - Question 1

Find the roots of the quadratic equation: x^{2} + 2x - 15 = 0?

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Test: Quadratic Equations- 1 - Question 2

If the roots of the equation (a^{2 }+ b^{2})x^{2 }− 2b(a + c)x + (b^{2}+c^{2}) = 0 are equal then

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Test: Quadratic Equations- 1 - Question 4

If the roots of a quadratic equation are 20 and -7, then find the equation?

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Test: Quadratic Equations- 1 - Question 5

The sum and the product of the roots of the quadratic equation x^{2} + 20x + 3 = 0 are?

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Test: Quadratic Equations- 1 - Question 6

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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Test: Quadratic Equations- 1 - Question 7

The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

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Test: Quadratic Equations- 1 - Question 8

One root of the quadratic equation x^{2} - 12x + a = 0, is thrice the other. Find the value of a?

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Test: Quadratic Equations- 1 - Question 9

The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?

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Test: Quadratic Equations- 1 - Question 10

For all x, x^{2 }+ 2ax + (10 − 3a) > 0, then the interval in which a lies, is?

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