Question

In a division problem, product of quotient and the remainder is 24 while their sum is 0.If the divisor is 5 then divident is

Answer 1

Step-by-step explanation:

quotient × remainder = 24

remainder = 24 / quotient ---(1)

quotient + remainder = 0

quotient = - remainder

remainder = - 24 / quotient (from (1) )

(quotient)^2 = -24

quotient = √-24 = 2√-6

= 2√6 × √-1 = 2√6i

divisor = 5

dividend = divisor × quotient + remainder

dividend = 5 × quotient - quotient

dividend = 4 × 2√6i = 8√6i

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Answer 2

Dividened = 8√6i

Given :

Remainder = 24

Sum of remainder and quotient = 0

Divisor = 5

To find: Divident

Solution:

Quotient × remainder = 24

remainder = 24 / quotient ---(1)

quotient + remainder = 0

quotient = - remainder

remainder = - 24 / quotient (from (1) )

(quotient) * (quotient) = -24

quotient = √-24 = 2√-6

= 2√6 × √-1 = 2√6i

divisor = 5

dividend = divisor × quotient + remainder

dividend = 5 × quotient - quotient

dividend = 4 × 2√6i = 8√6i

Hence, dividened = 8√6i

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