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How can I factorise 2(x^2)+3x+1=0 ?

This quadratic equation is in the form ax^2+bx+c=0 (a=2, b=3, c=1), where there is a coefficient in front of X² term. First we have to multiply a and c. we then have to find two numbers z and y...

Answered by Jonathan R. • Maths tutor

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How do I use the quadratic formula?

example quadratic eqn: ax²+bx+c=0 => x = (-b+-(b²-4ac)^1/2)/2a <...

Answered by Ben B. • Maths tutor

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Integrate cos^2A

Integrating sin^2A and cos^2A is a bit nasty so we can use double angle formula to make it a little simpler. cos2A = cos^2A - sin^2A = 2cos^2A - 1. We can rearrange to get cos^2A in nicer terms. cos^2A = ...

Answered by River M. • Maths tutor

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Expand and Simplify (5x - 2y)^2

We can rewrite this as (5x - 2y)(5x - 2y). Now all we have to do is expand the brackets. We can do this by multiplying all the terms in the second bracket by all the terms in the first bracket and then su...

Answered by River M. • Maths tutor

4931 Views

A family go into a shop, they buy three sandwiches and two packets of crisps. It costs them £9. Another family buy five sandwiches and six packets of crisps. It costs them £19. How much does two sandwiches and five packets of crisps cost?

We will call sandwiches S and packets of crisps C. These are the 'unknowns'. From the information we can write down two equations. Equation 1: 3S + 2C = 9 and Equation 2: 5S + 6C = 19. We need two equatio...

Answered by Sharmi S. • Maths tutor

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