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Quadratic Equations

If m and n ar...

Question

If m and n are the roots of the equation $x^{2} - 5 x + 3 = 0$ then find the value of $(m + n)^{3} + 4 m n$ .

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Solution

m + n = 5
mn = 3
So, $(m + n)^{3} + 4 m n$
$= 5^{3} + 4 (3)$
= 125+ 12
= 137

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