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How can I solve quadratic equations by completing the square?

When we have a quadratic (ax 2 + bx + c = 0) we can "complete the square" to solve for x. For example x 2 + 8x + 7 = 0. First look at the x 2 + 8x, in particular the coefficient of x, "b"...
TB
Answered by Thomas B. • Maths tutor
4253 Views

Explain the pull factors of counter-urbanisation.

Counter-urbanisation is the movement from city to rural area (centrifugal movement). Firstly, it is quieter in suburban/rural areas with less traffic, congestion and higher living standards. This is especial...
SS
Answered by Svenja S. • Geography tutor
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What are moles in Chemistry?

The moles is the amount of a substance that we are measuring, its like measuring how many coins I have in my pocket, but instead how many atoms of an element we have. We use the equation moles=mass/RMM to wo...
LP
Answered by Lucy P. • Chemistry tutor
4909 Views

Find the value of X and Y if X^2 + Y^2 = 13 and 2X + Y = 1

Firstly, since only one equation is linear, substitution must be used. This will allow us to make a quadratic equation with one variable and solve for X and Y. To do this, I will make Y the subject of the fo...
AS
Answered by Alexis S. • Maths tutor
7254 Views

A t-shirt is in the sale section of a store. It has 20% off and the new sale price is £12. What was the original price of the t-shirt?

Original Price x Percentage Multiplier = New Price Percentage Multiplier = (100-20)/100 = 0.8 OP x 0.8 = £12 OP = £12/0.8 = £15
KB
Answered by Katy B. • Maths tutor
4570 Views