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Solve the quadratic equation: x^2 - 2x - 15 = 0

To solve this, you need to find two factors of -15 that total to give -2. The solution we're looking for is of the for (x + something) (x + something)=0, as you can then solve each bracket to get two results...
JH
Answered by James H. • Maths tutor
5832 Views

What is the value of tan(45)?

From our base right angled triangle (base and height of 1) and remembering SOH CAH TOA ( tangent = opposite/adjacent), we can deduce tan(45) = 1 / 1 = 1
BS
Answered by Bernardo S. • Maths tutor
6540 Views

Simplify 4x^2 + 10x

Find the highest common factor of each component. H.c.f. of 4 and 10 is 2, so:4x 2 + 10x = 2(2x 2 + 5x)H.c.f of x 2 and x is simply x, so:2( 2x 2 + 5x) = 2x(2x + 5)
BS
Answered by Bernardo S. • Maths tutor
5044 Views

Find the general solution to the differential equation y'' + 4y' + 3y = 6e^(2x) [where y' is dy/dx and y'' is d^2 y/ dx^2]

First find the general solution to the differential equation y'' + 4y' + 3y = 0 as an arbitrary number of the solution to this differential equation can be added to the solution of the differential equation ...
ES
6304 Views

‘The Depression was the main reason that Hitler became Chancellor of Germany in January 1933.’ How far do you agree?

The Depression was an important reason why Hitler became Chancellor of Germany in 1933. First of all, the Depression had a negative economic impact on Germany. This meant the Nazis were able to increase thei...
JD
Answered by Jake D. • History tutor
33362 Views