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Express the fraction (p+q)/(p-q) in the form m+n√2, where p=3-2√2 and q=2-√2.

To answer this question, m and n should be whole numbers instead of fractions, without any square root terms in them. To do this, we first find the numerator, p+q, and the denominator, p-q, individually.N...

Answered by Elizabeth F. Maths tutor
6563 Views

Is the trapezium rule an exact method of integration?

The trapezium rule is not an exact method of integration, as it approximates the gradient between 2 ordinates to be constant. This method produces an overestimation for convex functions and underestimate ...

Answered by Maths tutor
2598 Views

Find all of the roots of the equation y = 3x^3 - 12x

Step 1: Remove the most obvious factor, in this case 3x. y = 3x (x2 - 4) Step 2: Realize (x2 - 4) is the product of two squares and can undergo completing the square to produce ...

Answered by Victoria D. Maths tutor
2981 Views

Josie is paid £1200 per month. She is going to receive an increase of 4% in the amount she is paid. Work out how much money Josie we be paid each month after the increase.

We need to first work out what 4% of £1200 is. 1% of £1200 = £(1200/100) = £12. 1% is £12, so 4%= 4*£12 = £48. She will receive a £48 increase.Adding that on to her original amount, £1200 + £48 = £1248.Fi...

Answered by Jack B. Maths tutor
2451 Views

Find the point(s) of intersection of the graphs y=x^2+4x-21 and x+y=-27 using an algebraic method.

As, at the point of intersection, the values of x and y are the same in each graph (otherwise it wouldn't be a point of intersection!), we can approach the problem as solving a pair of simultaneous equati...

Answered by Peter B. Maths tutor
3061 Views

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