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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...
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Answered by Bhavin S. • Maths tutor
8947 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
8618 Views

If there are 20 marbles in a bag and 1/5 are red, what fraction are red if 1 more red marble is added?

Originally, 1/5 of 20 marbles are red. 1/5 of 20 = 4. If i add 1 more we have 5 red marbles. 5/20 = 1/4.
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Answered by Liam O. • Maths tutor
7398 Views

How do you solve the following simultaneous equations? 4x-3y=18, 7x+5y=52

First, we need to try and eliminate one of the x or the y variables from both equations. Here, we are going to eliminate the y variable. In order to do this, we need to make the y coefficients equal in both ...
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Answered by Alma O. • Maths tutor
5540 Views

Solve the quadratic equation x^2+5x+6=0

There are two approaches which can be taken when solving this equation. The first is using the quadratic equation. By comparing the coefficients of the example to the general quadratic equation, a(x^2)+b(x)+...
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Answered by Anna M. • Maths tutor
28684 Views