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How do you solve simultaneous equations and why do you do it?

Solving simultaneous equations allows you to identify at which point on a graph two lines intersect. For example, take the straight line -x + y = 2 and parabolic curve y= x Firstly, let's re-...

PH
Answered by Peter H. Maths tutor
3574 Views

Sketch the line y=x^2-4x+3. Be sure to clearly show all the points where the line crosses the coordinate axis and the stationary points

From the equation we can see the the line in a positive quadratic graph. In order to find the points where the line crosses the x axis we must let y=0 and solve for x. We can then use either inspection, c...

MS
Answered by Matthew S. Maths tutor
4540 Views

How do I simplify the following equation x^2+5x+6

Firstly write out the question. x^2+5x+6. After this look at the constant without any x's. In this case that number is 6. Now look at the number 6 and work out the combination of factors for 6. Do this su...

HM
Answered by Henry M. Maths tutor
3173 Views

A perfect sphere of lead has radius 6 cm, and weighs 1710 grams. What is its density? Give your answer in g/cm^3. [Density = mass/volume]

To find the density, we need to divide mass by volume, and we already know the mass, so must find the volume.  V = 4/3.pi.r^2, and plugging in r=6 gives V = 48.pi, about 150.8 cm^3. The mass is 1710, whic...

RH
Answered by Ruth H. Maths tutor
3628 Views

Factorise and solve x^2 - 8x + 15 = 0

x^2 - 8x + 15 = 0 

(x - 5) (x-3) = 0 

x = 5 or x = 3

FC
Answered by Flora C. Maths tutor
2728 Views

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