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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 the two new expr...
SK
Answered by Soham K. • STEP tutor
9187 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 be used almost exclusively, unless &q...
AB
Answered by Andrew B. • Japanese tutor
2836 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 any limi...
AB
Answered by Andrew B. • Maths tutor
3712 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 Br...
EH
Answered by Edward H. • Geography tutor
35356 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 period. This is the amount of time it takes a business to ...
CY
Answered by Cecily Y. • Accounting tutor
15106 Views