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Solve x^2+10x+5=0 using completing the square.

Completing the square is one of the 3 common ways to solve a quadratric equation (other two being factorising and using the quadratic formula).Using completing the square method, you manipulate the first two...
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Answered by Vijendra V. Maths tutor
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Solve the inequality 5(x+2) > 7x+9

To solve the inequality all x terms must be move to one side and all non x terms to the other. First the brackets must be expanded to give 5x+10 > 7x+9. Then 9 is subtracted from both sides to give 5x+1 &...
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Answered by Sophia S. Maths tutor
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How do innate and learned behaviours differ?

Innate behaviours are characterised by inherent and instinctive behaviours that come natural to an organism and were not learned through their life cycle. Innate behaviours tend to be quick and effective, an...
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Answered by George B. Biology tutor
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Solve algebraically the simultaneous equations y-3x=13 and x^2+y^2=25

The point of solving simultaneous equations is to find the points at which the two equations intersect. In this case, it is clear to see that the first one is a circle with radius 5, centre (0,0) and the oth...
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Answered by Inesa S. Maths tutor
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'What dire Offence from am'rous Causes springs, /What mighty Contests rise from trivial Things,' In what ways does Alexander Pope subvert the classical epic motifs in the opening lines of his mock-heroic poem 'The Rape of the Lock'?

Traditional epic poetry usual begins in medias res which is the Latin for 'in the middle things', this is usual accompanied with an invocation of the muse whereby the author deems him/herself unworthy to rea...
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