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Prove algebraically that the difference between the squares of any two consecutive odd numbers is always a multiple of 8

(2n+3)^2-(2n+1)^2 4n^2+12n+9-4n^2-4n-1 8n+8 8(n+1), which is a multiple of 8
JG
Answered by Jordan G. • Maths tutor
6517 Views

Solve simultaneously, x+y=2 and 4y^2-x^2=11

(1) x + y = 2(2) 4y 2 - x 2 = 11 Rearrange (1) to x= 2-y & substitute x=2-y into equation (2) Simplify the new equation to 3y 2 +4y-15 = 0, use quadratic formula or simplify to (3y-5)(y+3)=0 and solve to...
NN
Answered by Nicholas N. • Maths tutor
4823 Views

The equation of the line L1 is y=3x–2. The equation of the line L2 is 3y–9x+5=0. Show that these two lines are parallel.

The first thing that you should know when wanting to find out if two lines are parallel are the features of a parallel line. These key features include never intersecting lines which means they continue fore...
KP
Answered by Karina P. • Maths tutor
3359 Views

Solve the simultaneous equation: 3x + 2y = 4 , 4x + 5y = 17

the first thing to do when trying to solve simultaneous equations like this one is to look for a common coefficient. one of these doesn't exist in either equation therefore you have to multiply one or both o...
MJ
Answered by Mohammad J. • Maths tutor
3508 Views

how would you solve the simultaneous equations 3x + 4y = 11, 5x - y = 3?

the first thing to do when trying to solve simultaneous equations like this one is to look for a common coefficient. one of these doesn't exist in the equations as they are so you have to multiply one or bot...
RM
Answered by Ryan M. • Maths tutor
4392 Views