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Solve the following simultaneous equations: 2x - y = 7 and x^2 + y^2 = 34

First, clearly write the two equations above one another, and label them (1) and (2). Rearrange the linear equation (the one with no squared variables) to make y the subject of the equation. You should ge...

TF
Answered by Tobias F. Maths tutor
19969 Views

What other A Level subjects would be useful towards applying to do a Mathematics degree?

To compliment Mathematics, Further Mathematics would be an ideal subject to take. It is not essential, however the additional practice would benefit your understanding of Mathematics, easing you into even...

VF
Answered by Vene F. Maths tutor
3462 Views

The point P lies on the curve C: y=f(x) where f(x)=x^3-2x^2+6x-12 and has x coordinate 1. Find the equation of the line normal to C which passes through P.

First we must find the y coordinate of the point P: We know the x-coordinate is x1=1 so the y coordinate must satisfy the equation y1=f(1) which gives y1=-7. So we now know P is at (1,-7).

We now n...

KH
Answered by Kieran H. Maths tutor
10621 Views

Find all solutions of x^2-x-6 using the quadratic formula

From the given quadratic, we have a=1, b=-1, and c=-6. We substitute these values into the quadratic formula, x=-b+-sqrt(b^2-4ac)/2a, giving us x=-1+-sqrt(-1^2-41-6)/2*1. This simplifies to x=1+-...

JH
Answered by Jack H. Maths tutor
3861 Views

Express square root of 48 in the form n x square root of 3 , where n is an integer

We know that 3 x 16 = 48 This is equivalent to saying 3 x 4^2 = 48 Therefore the square root of 48 can be written as square root of (4^2 x 3) = 4 x square root 3

HW
Answered by Helena W. Maths tutor
9252 Views

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