a. (2x3+ax3 +3x-4)=(x+4)
Answer (1)
Answer:Let's solve this equation step-by-step:1. Simplify the left side: 2x³ + ax³ + 3x - 4 = (2 + a)x³ + 3x - 42. Set up the equation: (2 + a)x³ + 3x - 4 = x + 43. Move all terms to one side: (2 + a)x³ + 3x - 4 - x - 4 = 04. Combine like terms: (2 + a)x³ + 2x - 8 = 05. Since this is a cubic equation, there's no simple way to solve for 'a' directly. We need more information.To find the value of 'a', you need one of the following:A specific value for 'x': If you know the value of 'x' that satisfies the equation, you can substitute it into the equation and solve for 'a'.Another equation: If you have another equation involving 'a' and 'x', you can use a system of equations to solve for both variables.Example:Let's say you know that x = 1 is a solution to the equation. You can substitute x = 1 into the equation:(2 + a)(1)³ + 2(1) - 8 = 02 + a + 2 - 8 = 0a = 4Therefore, if x = 1 is a solution, then a = 4.
