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Even logisch nadenken... X kan om te beginnen niet gelijk zijn aan 0 X kan ook niet groter zijn dan 97 Hierdoor blijft alleen 2+3=3+2=5 over => X=16 en/of 81 Zonder veel poespas
X can not be greater than 97 because otherwise 4th root of 97-X would result in an imaginary value. Only three integers powers of four are less than 97. 81, 16 and 1 substituting it looks like X equals 81 and X equals 16 both give an answer of 5 for he original equation.
I think it will be easier if you put x=a^4 then move (a) to other side of equation then raise both sides to power of 4 then simplify. You will get a^4 + 10 a^3 + 75 a^2 + 250 a + 264 = 0 (a+2)(a+3) (a^2 + 5 a + 44) =0 a = -2 -> x = (-2)^4 =16 a=-3 -> x = (-3)^4 = 81
@@vaibhavmittal6442Cierto. Las ecuaciones son como la foto del escenario de un crimen y los simplistas buscamos la solución evidente que no siempre es tan fácil. 2+3 o 3+2 dan 5 (otras opciones pero pocas viendo el escenario/ecuación). El procedimiento de resolución del profesor es impecable por abarcar otras posibilidades no tan fáciles como esta.
@@vaibhavmittal6442 Imaginary solutions are excluded because of the use of the root sign. So X must be between less than 97 but greater than zero. If you were to solve this graphically with the sum of two functions equaling five. You would see that there are two functions with curves going in the opposite direction. This first function rises in a curve from x=0 and y=0 slowly x=1 y=1; x=16 y=2; x=81 y=3; x=256 y=4 while the other falls in a similar curve x=0 y
Nice solution but presentation is way too detailed and time consuming. I'm sure mose viewers can see where the various reorginizations, sums and factoring, etc can be done in one line (two at the most). Good presentation but work on brevity please.
16? Сумма не превышает 5. Числа целые. От 0 до 3, так как 4⁴>97,. а(0...3) корень 4 степени из разности 97-а⁴ должен давать Целое число при извлечении 4 степени. Такое число 2 и 3 Следовательно х=2⁴=16, х=3⁴=81
When we have numbers 0,1 to infinite, why we have to substitute numbers with alphabets. It looks so stupid. May be are giving job opportunities for maths teachers.