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Can you explain the sum of 1 to 100?

The idea here is to pair your numbers up to get to the solution. If you were to put this through a calculator it would take you a while. However, if we simplify the problem to the sum of 1 to 10 you'll be ab...
JS
Answered by Jasivan S. • Maths tutor
4124 Views

Solve 3x – 5 < 16

Key points: Approach in exactly the same way as if there was an = instead of an &lt;.When trying to solve the inequality, remember that whatever you do to one side of the inequality you must also do to the o...
JM
Answered by John M. • Maths tutor
4097 Views

Solve 2x^2+ 7x -8 = 0, giving your answer to 2 decimal places.

You can solve this equation using the quadratic formula: x = -b +/- root(b 2 - 4ac) 2aSo, a=2, b=7, c=-8:x = -7 +/- root(7 2 - 4 x 2 x -8) 2 x 2So, x = 0.31 or -3.81
MK
Answered by Michelle K. • Maths tutor
8756 Views

Find the exact solution, in its simplest form, to the equation ln(4y + 7) = 3 + ln(2 – y) (Core Maths 3 Style Question)

First we subtract ln(2-y) from both sides to get &quot;ln(4y+7) - ln(2-y) = 3&quot;. By applying the laws of logs from C2, we have &quot;ln[(4y+7)/(2-y)] = 3&quot;. Therefore, if we put them as exponents of ...
DB
Answered by Danielle B. • Maths tutor
4660 Views

Prove algebraically that 
(2n + 1)^2 – (2n + 1) is an even number for all positive integer values of n. (3 marks)

We can show something is even if it is a multiple of two, as every multiple of two is even. It is useful to see certain tricks, and I will aim to teach you these in my tutorials, these tricks make problems e...
BH
Answered by Ben H. • Maths tutor
7263 Views