Question

p and q are the roots of the quadratic polynomial, mx - 5x+n and if p+q=p.q=10
then fine the value of m and n.​

Answer 1

SOLUTION

GIVEN

p and q are the roots of the quadratic polynomial, mx² - 5x + n and if p+q=p.q=10

TO DETERMINE

The value of m and n.

CONCEPT TO BE IMPLEMENTED

If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

EVALUATION

Here it is given that p and q are the roots of the quadratic polynomial,

So the quadratic polynomial is

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

$= \sf{ {x}^{2} - 10x + 10}$

We know if p , q are the roots of the quadratic polynomial ax² + bx + c then it is also roots of the quadratic polynomial k(ax² + bx + c) where k is a non zero real number

Here the given Quadratic polynomial is

mx² - 5x + n

Multiplying by 2 we get

2mx² - 10x + 2n

Hence 2m = 1 & 2n = 10

Hence m = 1/2 & n = 5

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Answer 2

Answer:

Step-by-step explanation:

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