Discussion :: Quadratic Equations
- If the roots of a quadratic equation are 20 and -7, then find the equation?
A.
x2 + 13x - 140 = 0
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B.
x2 - 13x + 140 = 0
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C.
x2 - 13x - 140 = 0
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D.
x2 + 13x + 140 = 0
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E.
None of these
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Answer : Option C
Explanation :
Any quadratic equation is of the form
x2 - (sum of the roots)x + (product of the roots) = 0 ---- (1)
where x is a real variable. As sum of the roots is 13 and product of the roots is -140, the quadratic equation with roots as 20 and -7 is: x2 - 13x - 140 = 0.
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