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Factorise and solve the quadratic equation x^2 + 6x + 8 = 0

Theory Problems like this need to be broken down into steps: i) Factorise, ii) solve and iii) check. The aim of this question is to find values of x which satisfy the quadratic equation, i.e. when we substit...
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Answered by Tutor87306 D. Maths tutor
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How can I solve equations like 2x + 3 = 8x + 21?

Questions like this ask you to solve an equation; this means to find a value of x that when put into the equation allows each side of the equation to be equal. There are three important rules to follow when ...
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Answered by Tutor87017 D. Maths tutor
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We have the following fractions: 6/16, 9/24, 12/32 and 15/35. Which fraction is not equivalent to 3/8?

Numerator and denominator of a fraction 6/16 can be divided by 2 to get 3/8. Numerator and denominator of a fraction 9/24 can be divided by 3 to get 3/8. Numerator and denominator of a fraction 12/32 can be ...
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Answered by Karolina P. Maths tutor
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Suppose we have a circle whose radius is 5cm. If a sector of this circle has an area of 15 cm^2, what is the size its angle (in degrees)?

Firstly, you would need to figure out what formula you can use to solve this problem. You know the radius and area of the sector, and you need to find the angle. So, the correct equation to use would be the ...
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Answered by Roxani S. Maths tutor
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The first 4 terms of a different sequence are: 9, 13, 17, 21. Find an expression for the nth term of the sequence

In order to find the nth term of a sequence you need to keep the structure of the nth term sequence in mind (dn+x). The first thing we want to do is find 'd'. In this case 'd' stands for difference, which is...
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Answered by India B. Maths tutor
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