Question

if m and n are the roots of x-px +q=0 then
the value of p - 3pq is​

Answer 1

Answer:

The value of p - 3pq is​ $m+n-3 m^2 n-3 m n^2$

Step-by-step explanation:

Step 1:We must determine if a given integer is a perfect square or an imperfect square in order to determine its square root. Perfect square numbers, such as 4, 9, 16, etc., may be factored using the prime factorization method. When a number, such 2, 3, 5, or another imperfect square, is involved, we must utilise the long division method to get the number's root.

$x^2-px+q=0$

m and n are roots....(Given)

then,

Step 2:m+n = -(-p) = p (sum of roots = -$\frac{b}{a}$)

m×n = q (product of roots = $\frac{c}{a}$)

$p-3pq= (m+n)$-3(m+n)(mn)

=$m+n-3 m^2 n-3 m n^2$

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