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Find all positive integers n such that 12n-119 and 75n-539 are both perfect squares. Let N be the sum of all possible values of n. Find N.

Let 75n - 539 = l^2 and 12n - 119 = k^2 . where n is a natural number.

Multiply 75n - 539 = l^2 by 4 to give 300n - 2156 =4l^2 and 12n - 119 = k^2 by 25 to give 300n - 2975 = 25k^2.

Subtract...

SK
Answered by Soham K. STEP tutor
8648 Views

How can I recognise transitive and intransitive verbs?

When reading, there are two main telling signs to look for:

1) An intransitive verb always takes the particle "ga". For a transitive verb, "wa" will b...

AB
Answered by Andrew B. Japanese tutor
2436 Views

How do you do integration by parts?

When you see a complicated product, split it into the form u.v', where u and v' are algebraic expressions such as x^2. You can then use the formula: uv'=uv-integral(vu') which you would take between an...

AB
Answered by Andrew B. Maths tutor
3255 Views

Using examples, explain the reasons why rural-urban migration occurs.

Rural-urban migration - the movement of indivdiuals from rural to urban areas - is the product of a plethora of push and pull factors, as exhibited by Lee's push-pull theory. Migration from rural to urban...

EH
Answered by Edward H. Geography tutor
34735 Views

what are the different types of capital expenditure appraisal?

Capital expenditure appraisal is the evaluation of investment opportunities. 

1. Payback method = The payback method involves calculating the payback per...

CY
Answered by Cecily Y. Accounting tutor
14762 Views

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