Completing The Square (3 of 3) | ExamSolutions Maths Made Easy

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This is the third video in a series where I show you how to complete the square for negative x^2 terms in a quadratic expression. Full series here www.examsoluti...
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3 окт 2024

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Комментарии : 14

@opalesti 5 лет назад

Thank youfor your efforts, but example 1 and 2 are confusing because in the first one you have kept the 5 inside the brackets and you have changed the sign to negative, otherwise in example 2 you have got the 5 outside the brackets and you didn't make any change with it in the sign even if you have got the ( -2 from the function and divided it to all the function except the 5 ). so, please can you describe me this situation. Thank you again

@lucysmith7383 4 года назад

Hi Examsolutions, I understand everything except whether you keep the c term in the square bracket or not. E..g in your example 4+10x-x^2 I kept the -2 outside the square bracket so i didnt multiply it out when removing the square brackets. My final answer for that question was 21- (x-5)^2 Please can you explain why in some examples you put c in the square bracket but in some you do not. Thanks

@johnlynch9940 5 лет назад

Hi Stuart. Just wanted to say thank you for everything your videos have really helped me! If it wasn’t for you I’d be struggling in maths but now I’m on track for an A* :) Just wondering, will you be uploading a tutorial for proof by contradiction? Many thanks

@ExamSolutions_Maths 5 лет назад

Thank you and for any support you give in return. This is all I have done so far on proof www.examsolutions.net/a-level-maths/edexcel/pure-maths-a-level-tutorials/#proof Best wishes for that A* Stuart

@mariehill6547 5 лет назад

Hi, just a quick question, when we want to prove a function is increasing eg. f(x)= x^2 -6x+36 why do we state that x^2 is greater than or equal to 0, therefore f(x) is increasing? I don’t understand why we do this for proof as well (where we state that x^2 is greater than or equal to 0). The question is prove that for all real values of x, (x+6)^2 is equal to or greater than 2x + 11.

@hayazeedan 5 лет назад

Taylor Shill www.examsolutions.net/a-level-maths/edexcel/pure-maths-a-level-tutorials/#proof check this one out

@paulshelley7664 5 лет назад

surely in the first example we don't want 16 so wouldn't it be correct to make it plus 16 so when multiplied by the minus sign it would disappear? in your example we added 16!!