China | Math Olympiad | A Nice Algebra Problem 👇

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13 окт 2024

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Комментарии : 12

@satyadev3848 2 месяца назад

nice👍

@LaxmanKumar-yi4cv 2 месяца назад

Great

@harikishan1900 3 месяца назад

Very good 👍

@NithyaGhumare 3 месяца назад

Nice🎉🎉

@KeshavKulkarni-x1w 2 месяца назад

❤❤

@Maheshkumar-cw6un 2 месяца назад

Good Teaching skills

@harshpathak2359 2 месяца назад

Hello ma'am,it's very good solution

@manojchaugule794 3 месяца назад

lovely explaination maam😊😊

@prollysine 2 месяца назад

One term of this type of equation is positive and the other term is negative. It's easy to figure out the solution in your head, just like that, a=-9, b=8, let's test it , (-9)^2-8=81-8 , 81-8=73 , 8^2-(-9)=64-(-9) , 64+9=73 , Of course, guesswork won't be accepted in the exam... If the equation is quadratic, we must get four different solutions... a=b^2-73 , -> b^4 |+/-| k*b^3 -146b^2 -b +5256 = 0 , by faktoring , based on the previous ones let k=9, b^4+9b^3 -9b^3--81b^2 -65b^2-585b +584b+5256=0 , -> b^3(b+9)-9b^2(b+9)-65b(b+9)+584(b+9)=0 , (b+9)(b^3-9b^2-65b+584)=0 , b+9=0 , b=-9 , a=b^2-73 , a=(-9)^2-73 , a=81-73 , a=8 , test , a=8 , b= -9 , 8^2-(-9)=64+9 , 64+9=73 , OK , (-9)^2-8=81-8 , 81-8=73 , OK , b^3-9b^2-65b+584=0 , (b-8)(b^2-b-73)=0 , b-8=0 , b=8 , a=b^2-73 , 64-73= -9 , a= -9 , b^2-1-73=0 , b=9.05862 , a=9.05862^2-73 , a=9.05862 , b=-8.05862 , a=(-8.05862)^2-73 , a=-8.05862 , the pairs of numbers are the same, test , 9.05862^2-9.05862=73 , vice versa , (-8.05862)^2-(-8.05862)=73 , OK , solu. per pair of numbers, | a=-9 , b=8 | , | a=8 , b=-9 | , | a=b=9.05862 | , | a=b= -8.05862 | ,

@prollysine 2 месяца назад

Thanks , it wasn't an easy task, but I figured it out. You have very beautiful hands and painted nails.

@aruntiwari5714 2 месяца назад

A and B values are correct 💯

@ichdu6710 2 месяца назад

other solution after 2:42: with case 2 we found a = -b -1 we replace a in equation 2 finding a quadratic equation with b² +b - 72 = 0 solving this quadratic equation with the standard formula solution 1: b1 = +8 ---> a1= -9 solution 1: b2 = -9 ---> a2= +8 after that verification. btw: please avoid in your next video saying the word 'right' after nearly every line and starting the next line with the word "now". this is quite annoying and stressful