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Solve the equation x^2-9x+20=0

First, we need to factorise the equation on the left hand side, this can be done by finding two numbers that add together to make the 'b' coefficient (-9) and multiply to make the 'c' coefficient (20).

Answered by Joseph B. • Maths tutor

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Simplify 3x^(2)+13x-30/x^(2)-32

First of all spot that the bottom of the fraction is a result of the difference of two squares and can be rearranged to (x+6)(x-6), making the fraction equal to 3x^(2)+13x-30/(x+6)(x-6). Use this knowledg...

Answered by Nicolaas P. • Maths tutor

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Solve (4-2x)/(x+1)=x

To solve this equation, we need to collect all of the x^2 terms and the x terms together. To do this we should start by getting rid of the fraction on the left-hand side by multiplying both sides by the d...

Answered by Emily K. • Maths tutor

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A* grade question: ((2x+3)/(x-4))-((2x-8)/(2x+1))=1 solve for X

Multiply whole equation by x-4 and then 2x+1 (would do this one step at a time but must conserve space here):

(2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1)

Expand brackets:

(4x^2+8x+3)-(2x^2-1...

Answered by Becky L. • Maths tutor

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Find the volume and surface area of a cylinder, of length 20cm and radius 5cm.

A diagram is often helpful to draw for questions like this. 1.) Volume. For the volume of a cylinder, you must first find the area of the face, and multiply by the length. The formula for this is Vol= πr^...

Answered by Cameron L. • Maths tutor

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