describe relationship between root of the quadratic equation and coefficients
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Therefore, α + β = -coefficientofxcoefficientofx2 and αβ = constanttermcoefficientofx2 represent the required relations between roots (i.e., α and β) and coefficients (i.e., a, b and c) of equation ax^2 + bx + c = 0.
For example, if the roots of the equation 7x^2 - 4x - 8 = 0 be α and β, then
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Answer:The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient. The product of the roots of a quadratic equation is equal to the constant term (the third term), ... The roots will be represented as r1 and r2.
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