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How do you factorise a quadratic equation where the coefficient of x² isn't 1?

Using the formula ax 2 +bx+c, multiply the value of coefficient a, from your equation, with the value of c. Next, try to think of two factors of the number you just calculated, which also add together to mak...
GR
Answered by Grace R. • Maths tutor
3819 Views

One important question type to be able to answer is integrating squared trig functions. like cos^2(x)

This question requires selecting the correct double angle formulae. cos(2x)=2cos^2(x)-1 is rearranged to 1/2(cos(2x)+1) this can now be integrated with the students knowledge of standard integrals. Cos integ...
AR
Answered by Andrew R. • Maths tutor
3704 Views

Solve the simultaneous equations. 2x + y = 18 x - y = 6

2x + y = 18x - y = 6. There are a few methods you can use to tackle simultaneous equations. The one I find the easiest is making one of the unknowns a subject and plugging it back into the other equation. In...
SU
Answered by Sofia U. • Maths tutor
4199 Views

What is completing the square and how do I do it?

Completing the square is a method of solving quadratic equations that can't be factorised. The end goal is to express the quadratic in the form:(x + a) 2 = -bWhich allows us to root both sides and find our s...
HJ
Answered by Henry J. • Maths tutor
4390 Views

Solve the simultaneous equation: 3x+y =-4 and 3x-4y=6

The first step would be to rearrange the first equation to make y the subject: 3x+y=-4 ----> y=-4-3x Next we want to substitute this value of y into the second equation 3x-4y=6 -----> 3x-4(-3x-4)=6 Nex...
SP
Answered by Samuel P. • Maths tutor
10855 Views