3. The sum of the roots of a quadratic equation are -15 and their product is 72
i) Frame the quadratic equation
ii) Find the nature of the roots of the equation .
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i)
p(x) = x^2 - (sum of roots)x + (product of roots)
∴ p(x) = x^2 + 15x + 72
ii)
D = b^2 - 4ac
∴ D = 225 - 288
As the discriminant is negative, the roots of the equation will be imaginary
p(x) = x^2 - (sum of roots)x + (product of roots)
∴ p(x) = x^2 + 15x + 72
ii)
D = b^2 - 4ac
∴ D = 225 - 288
As the discriminant is negative, the roots of the equation will be imaginary
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