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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 to...
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Answered by Callum H. • Maths tutor
3445 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 turnin...
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Answered by Harry H. • Maths tutor
4020 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 to t...
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Answered by Dulcie S. • Maths tutor
3699 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 mark...
GA
Answered by George A. • Maths tutor
3276 Views

Solve the equation: x^2+7x=-12

The first step for this question is to rearrange the equation to get the right hand side equal to 0.x^2+7x+12=0Next, we have to try and factorise this equation. We do this by considering what two numbers mul...
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Answered by George A. • Maths tutor
4956 Views