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Factorise the equation x^2 +5x = 6

On first glance, this looks like it is going to be a quadratic equation, so let’s try and put it in the form ax 2 + bx + c = 0 which we can factorize. If we subtract 6 from each side, we end up with x 2 +5x ...
MJ
Answered by Matthew J. • Maths tutor
9399 Views

Integrate cos(2x)

The intergral for cosx is sinx, but '2x' must be considered. When differentiating a sinx/cosx function, the '2x' would be differentiated separately and placed in the front (multipling). So when intergating y...
GO
Answered by Gold O. • Maths tutor
18830 Views

The area of a rectangle is 8cm^2. The rectangle is (3x+1) by (2x+5). Find the value of x

Area of a rectangle is width times height (3x+1)(2x+5)= 6x 2 +15x+2x+5 6x 2 +17x+5 Set formula of area equal to known area value. 6x 2 +17x+5= 8 6x 2 +17x-3 = 0 (6x-1)(x+3)=0 (or use quadratic formula) x=-3 ...
CD
Answered by Conrad D. • Maths tutor
6655 Views

Find the inverse of the following function: g(x) = 4/(3-x)

A function is simply a process that takes in a number, does a few operations on it (for example, add, multiply etc), and then gives out another number. If you want to figure out the inverse of a function, al...
EM
Answered by Eytan M. • Maths tutor
5675 Views

How do you solve the equation e^2x - 2e^x - 3 = 0 ?

This is a 'quadratic in e^x'. The easiest way to recognise this when starting problems like this is to let y=e^x. As you practice problems like this, you will find yourself moving away from this step. But it...
LC
Answered by Lewis C. • Maths tutor
15908 Views