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Solve the inequality x^2 – x < 6

The question is asking for the range of x values that satisfies the inequality. First rearrange the equation to form a quadratic: x 2 – x – 6 &lt; 0. Factorise the quadratic to find x-intercepts: ( x – 3 )( ...
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Answered by Lea L. Maths tutor
9350 Views

What is meant by a uniform electric field?

Region which a force acts on a charged particle and the force is same at all points.
DH
Answered by Dave H. Physics tutor
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Factorise x^2+3x-4=0

We will set the answer layout first by forming 2 brackets. (x+a)(x+b)=0We then look at the signs used, particularly negative signs. In this question, there is a minus sign before the 4.This means that one of...
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Answered by Danel I. Maths tutor
4003 Views

How can I find all the solutions to cos(3x) = sqrt(2)/2 for 0<=x<=2pi ?

Finding the solutions to trig equations begins in a very similar way to when we do it at GCSE. We start with:cos(2x) = 2 -1/2 0 &lt;= x &lt;=piand correct our range, as we are interested in 2x not just x: 0 ...
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Answered by Thomas U. Maths tutor
8060 Views

What are the conditions of perfect competition?

We define a perfectly competitive market as a market which fulfils the six following conditions: 1) Large number of sellers and buyers. 2) Homogenous product: All of the goods sold within the market are iden...
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Answered by Ethan B. Economics tutor
4597 Views