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Solve 5x^2 - 9x + 4 = 0 using the quadratic formula

The quadratic formula is (-b±sqrt(b^2-4ac))/2a where a is the coefficient of the x^2 term, b is the coefficient of the x term and c is the number. So, in this case a=5, b=-9 and c=4. Substitute this into the...
MP
Answered by Matilda P. • Maths tutor
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Solve these equations simultaneously: (1) 5x - 10z = -45 and (2) 9x = -5z + 80

There are two methods to solve this equation. 1) Rearrange equation 2 to get all the xs and zs on the left hand side (9x+5z=80). Multiply either equation to get an equal number of xs or zs in both equations,...
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Answered by Matilda P. • Maths tutor
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Where do I start with poetic close analysis?

The tool that revolutionised the way I learned for A-Level English is one I wish I'd learned earlier. First of all, try to put all pre-conceptions you have of the piece aside. These are useful once you've bu...
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Answered by Sarah H. • English tutor
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How to factorise a quadratic with a coefficient of x^2 greater than one, for example 4x2+4x-15?

Firstly, label each coefficient: coefficient in front of x2 “a”, is equal to 4. “b” is the coefficient in front of x is equal to +4 “c” is equal to -15 The procedure for factorising starts with working out t...
BS
Answered by Bhavin S. • Maths tutor
9319 Views

The circle c has equation x^2 + y^2 = 1. The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

The first step would be to form an equation for the line l. Using y=mx+c, and the information provided in the question, the equation for line l is y=3x+1. To find the coordinates of where c and l intersect, ...
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Answered by Dilan P. • Maths tutor
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