Question

Find all real number solutions of the following equation, and write a comma between each answer: x^27x^3 + 162 = 0. Hint: Transform the equation into quadratic form by making the substitution: w = x^3. Then solve the quadratic for w. Once you have the values of w, take the cube root of each value in order to change it back into a corresponding value of x. When writing your solutions, you can use root(3)(x) to indicate the cube root of x. For example, writing root(3)(x) will indicate, etc. Answer= (x^3-9)(x^3-18) Preview (x³ – 9) (x³ - 18) = undefined.

          Find all real number solutions of the following equation, and write a comma between each answer: x^27x^3 + 162 = 0. Hint: Transform the equation into quadratic form by making the substitution: w = x^3. Then solve the quadratic for w. Once you have the values of w, take the cube root of each value in order to change it back into a corresponding value of x. When writing your solutions, you can use root(3)(x) to indicate the cube root of x. For example, writing root(3)(x) will indicate, etc. Answer= (x^3-9)(x^3-18) Preview (x³ – 9) (x³ - 18) = undefined.

Added by Debra C.

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