If m and n are negative numbers, the solution of the equation mx=n (x is a positive number) will be

Positive number

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Negative number

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Solution

The correct option is A Positive number
$m x = n$
$⟹ x = \frac{n}{m}$
Since m and n are both negative, $x = \frac{n}{m}$ will be positive.

Hence, the solution of $m x = n$ will be a positive number.

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Question 2

If a and b are positive integers, then the solution of the equation ax = b will always be a

(a) positive number

(b) negative number

(d) 0

Prove that if a, b, c are positive numbers and if the equation ax² + bx + c = 0 has solutions then they are negative numbers.

x_{1} + x_{2} + x_{3} \leq 13

{(x - m)}^{2} - {(x - n)}^{2} = {(m - n)}^{2}

m

n

x

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