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Find the roots of the following equation x^2 + 6x + 5 = 0

There are a few ways to do this, firstly you notice that there is no coefficient in front of the x^2. This means you can factorise it with relative ease, by finding numbers that add to give 5 but multiply...

Answered by Callum H. Maths tutor
2256 Views

The equation of a curve is y=(x+3)^2 +5, what are the co-ordinates of the curve's turning point?

Differentiate y with respect to x:dy/dx = 2(x+3) = 2x+6When the above equation is equal to 0, this is where the turning point of the curve is.2x+6 = 02x = -6x = -3Therefore, at x = -3, the curve has a tur...

Answered by Harry H. Maths tutor
2658 Views

How do I rearrange and make y the subject in equations such as "(y/4) - X = 1"?

The aim is to finish with an equation that looks like "y = .....". We want Y and X on separate sides.The main thing to remember is that whatever you do to one side of the equation, you also do t...

Answered by Dulcie S. Maths tutor
2458 Views

What is the solution to the inequality shown? 3m + 5 > 2 (m-7)

So the first thing we would do is expand the right side: so multiply everything in the bracket by 2 to open it up -so it would become 2m - 14.3m + 5 > 2m -14Then we move all the like terms to one side ...

Answered by zeina f. Maths tutor
3407 Views

A class of 10 students all complete a maths exam. Their marks are as follows: 67, 82, 48, 36, 55, 95, 19, 49, 62 and 73. Find the mean, median and range.

First let's start with the mean, the formula for the mean is: (Sum of terms)/(amount of terms). We know the amount of terms is 10 as this is in the questions, to find the sum of the terms we add all the m...

Answered by George A. Maths tutor
2059 Views

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