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Given the curve y=x^2 -6x +8, find the turning point.

For a turning point, the differential of the curve is equal to 0. Therefore dy/dx = (1 2)x^(2-1) - (6 1)x^(1-1) + 0 = 0. This gives x = 3. Substitute this back into the original equation to get y=-1. Therefo...
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Answered by Ellis B. • Maths tutor
7934 Views

Expand and simplify fully (x+3)(x-1)

When expanding brackets one should follow the FOIL order, multiplying out in this order: F irst- The first term in each bracket O utside- The outside terms of the brackets I nside- The inside terms of the br...
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Answered by Callum L. • Maths tutor
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Factorise x^2+3x+4 without the use of quadratic formula

We use the form ax^2+bx+cTo factorise we need to put the equation into 2 bracketsThese 2 brackets will be in the form (x+k)(x+j) where k and j are to be foundWe need to find a combination of k and j for whic...
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Answered by William C. • Maths tutor
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Solve algebraically the simultaneous equations x^2 + y^2 = 25 and y - x = 1

Let's label the equations x 2 + y 2 = 25 (1) y - x = 1 (2). We can use substitution to solve this simultaneous equation. Let's make y the subject of the equation (2) and we get y = x + 1. Now, lets find y 2 ...
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Answered by Vithya N. • Maths tutor
10682 Views

Solve 3x^2+7x-13=7 to find x.

Firstly, you need to get the equation to equal zero, so that you can use the quadratic formula to solve. Therefore you subtract 7 from both sides, meaning the equation becomes: 3x^2+7x-20=0. Recall the quadr...
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Answered by Ellie M. • Maths tutor
4177 Views