Nice Algebra Problem | You should be able to solve this!

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Nice Algebra Problem | You should be able to solve this!
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Опубликовано:

23 авг 2023

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Комментарии : 5

@vijayannair2316 10 месяцев назад

Nice

@Nature-Melody2106 10 месяцев назад

Amazing❤❤❤

@dileepmv7438 10 месяцев назад

but he is using trial and error to find out that 7 is a factor; this is a wrong method

@MathBooster 10 месяцев назад

Trial and error is the only method to solve cubic equation for up to grade 12 students (in higher studies, you will learn a complex formula to solve cubic equation). So, it is not wrong. Examinor will always give you only such cubic equations to solve in which you can easily find one solution by trial and error.

@BRUBRUETNONO 10 месяцев назад

Hi, Thanks for your interesteing problem. Here is how I solved it without looking at your solution. I hope you like it. Greetings ! xy=3 x^6+y^6=154 x^8+y^8=? We have (x^2+y^2)^3=(x^2)^3+(y^2)^3+3x^2y^2(x^2+y^2) (x^2+y^2)^3=(x^6+y^6)+3(xy)^2(x^2+y^2) If we set q=x^2+y^2 then q^3=154+3.3^2q q^3-(343-7.27)-27q=0 (q^3-343)-27(q-7)=0 (q^3-7^3)-27(q-7)=0 (q-7)(q^2+7q+7^2)-27(q-7)=0 (q-7)(q^2+7q+7^2-27)=0 (q-7)(q^2+7q+22)=0 q-7=0 or q^2+7q+22=0 q^2+7q+22=0 has a negative discriminant as D=7^2-4.22