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solve x^2 - 2 < 2

Change the inequality to an equalsx 2 -2=2solve as normalx 2 -2=2-2x 2 -4=0factorise(x-2)(x+2)=0so x=-2 and x=2However, how do you know if the answer is bigger or smaller than -2 and 21st draw the graph for ...
AM
Answered by Alicia M. • Maths tutor
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A cylinder of base radius 2x and height 3x has the same volume as a cone of base radius 3x and height h. Find h in terms of x.

The equation for the volume of a cylinder is (1/2) pi (r 2 )*H, where r is the radius and H is the height of the cylinder. For the cylinder given, the volume is therefore (1/2) pi ((2x) 2 )*3x, or more simpl...
GF
Answered by Georgie F. • Maths tutor
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Solve the following simultaneous equations: 6a + b = 16; 5a - 2b = 19

There are 2 methods in solving this set of equations, in order to find the 2 unknowns: (a) and (b). Method 1: Firstly rearrange equation 1 to make (b) the subject: b = 16 - 6a. This can then be substituted i...
DC
Answered by Doroti C. • Maths tutor
4388 Views

Solve the simultaneous equations. (1) 2x + y = 18 (2)x − y = 6

In these simultaneous equations, there are two unknowns. The first is x, the second is y. The aim of a question like this is to find what x and y are equal too. A method to doing this is to rewrite one equat...
SW
Answered by Samantha W. • Maths tutor
5284 Views

If a rectangle has length (x-4), width (x-5) and area 12 then what is the value of x?

length x width = area (as rectangle) (x-4)(x-5)=12 x 2 -9x+20=12 x 2 -9x+8=0 (x-8)(x-1)=0 x=8 or x=1 &lt;---- x can't be 1 as we would get negative length and width x=8
SM
Answered by Simon M. • Maths tutor
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