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Imagine everlasting life and what you personally doe ? This will give you an idea 💡 on how to get it + 16 All Scripture is inspired of God+ and beneficial for teaching,+ for reproving, for setting things straight,+ for disciplining in righteousness,+ 17
He solved it in an overly-complicated manner. All those extra equations and manipulations aren't needed. Simply cube each side and simplify, then substitute a part using the original equation, and finally solve for x. It's so fast that I created a general solution to solve these types very easily. The cube of a binomial has the following form: (m - n)³ = m³ - 3*m²*n - 3*m*n² - n³ (m - n)³ = m³ - n³ - 3*m*n*(m - n) Factor (m - n) on the right is what was cubed, and that's given as b in the original equation: ³√(x+a) - ³√(x-a) = b (³√(x+a) - ³√(x-a))³ = b³ (x+a) - (x-a) - 3*³√(x+a)*³√(x-a)*b = b³ 2*a - 3*³√(x²-a²)*b = b³ 2*a - b³ = 3*³√(x²-a²)*b (2*a - b³)/3/b = ³√(x²-a²) ((2*a - b³)/3/b)³ = x²-a² ((2*a - b³)/3/b)³ + a² = x² x = ±√(((2*a - b³)/3/b)³ + a²) For this problem, a = 13 and b = 2 : x = ±√(((2*13 - 2³)/3/2)³ + 13²) = ±√(((26 - 8)/6)³ + 169) = ±√((18/6)³ + 169) = ±√(3³ + 169) = ±√(27 + 169) = ±√196 x = ±14 I generated my own math problem: ³√(x+100) - ³√(x-100) = 5 The solutions checked out on my calculator: x = ±45*√5
Imagine everlasting life 5:47 + 16 All Scripture is inspired of God+ and beneficial for teaching,+ for reproving, for setting things straight,+ for disciplining in righteousness,+ 17
Thanks, but it is too long. Once you got 'ab = 3' then you could substitute into the given 'a-b = 2' which would yield 'a^2 - 2a - 3 = 0', thus a = -1 and +3. Finally x+13 = (-1)^3 and (3)^3, that is, x = -14 and +14.
The whole problem can be solved by cubing the original equation, simplifying, replacing 2 terms with the constant of the original equation, and then solving with basic math.
Il est faux de dire que √16 = ±4, la racine d'un nombre étant toujours positif, il faut dire ±√16 = ±4, je remarque que tu fais souvent la même erreur 🙄🙄
короче решается зачем город городить, решается за 2 минуты имеем 'a-b = 2' находим b = a-2 и сразу подставляем в 'a^2 + 2ab +b^2 = 13 самом начале решаем квадратное уравнение и находим a = -1 и +3. затем возводим a^3 = x+13 и решаем находим x
Carefully peruse this equation. There are two cube roots that differ by two. Its easy to find 14 as an answer. Sometimes inspiration is better than perspiration!!
Actually, that's the only thing needed to solve the problem. Cube both sides of the original equation, and simplify. Note that (a - b) is a factor, which is the constant of the original equation, so replace it. The rest of solving for x is just basic math. He didn't need to introduce all those other equations and formulas.
