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Factorising Quadratics: x ^2 ​​ − x = 12

Factorising a quadratic basing means 'putting it into 2 brackets'. The standard format for a quadratic equation is:ax^2 + bx + c = 0. You'll usually find that this becomes a lot easier when a=1. As well as f...
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Answered by Avishka D. • Maths tutor
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Solve: x^2 + y^2 = 25 y - 3x = 13

Equation 1) x 2 + y 2 = 25 Equation 2) y - 3x = 13 First you need to substitute a variable so there is only one unknown in the equation: 2) y = 13 + 3x Substituting this into equation 1) gives: x 2 + (13 + 3...
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Answered by Lucy W. • Maths tutor
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Expand and simplify: (5w-6)(2w+7)

So first you need to multiply out the brackets so you can simplify the equation. Remember the acronym FOIL: First, Outer, Inner, Last.10w^2 + 35w - 12w - 42 And then you need to simplify 10w^2 + 23w - 42
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Answered by Emma C. • Maths tutor
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Edexcel 2017, Q8) A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49cm. Work out x.

First we should draw what the question tells us. Draws circle with square inside it We want to find out some extra information about the circle based on what we have been told. How can we do this?Well we kno...
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Answered by Alex B. • Maths tutor
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The diameter of a ring is 19mm. Calculate the area of the ring in cm^2, giving the area to 3 significant figures.

First you must convert the diameter into cm from mm:19/10 = 1.9cmThen you must find the radius of the ring:radius = diameter/2 = 1.9/2 = 0.95 cmThen you can calculate the area:area = 2πr 2 = 2 x π x (0.95) 2...
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Answered by Mary P. • Maths tutor
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