To find how many solutions can be found for the linear equation, we need to simplify it first:
3(x^2 + 5) - 6 = (9x + 18)^3
Next, we can expand both sides of the equation:
3x^2 + 15 - 6 = 729x^3 + 1458x^2 + 972x + 324
Combining like terms:
3x^2 + 9 = 729x^3 + 1458x^2 + 972x + 324
Now, this equation is a cubic equation, so it can have up to 3 solutions. However, we'd need to solve it to determine the actual number of solutions.
How many solutions can be found for the linear equation?
3(x2
+ 5) - 6 = (9x+18)3
3 answers
Then solve it
To solve the cubic equation:
3x^2 + 9 = 729x^3 + 1458x^2 + 972x + 324
Firstly, let's move all terms to one side to get a zero on the other side:
729x^3 + 1458x^2 + 972x + 324 - 3x^2 - 9 = 0
Simplifying:
729x^3 + 1455x^2 + 972x + 315 = 0
Unfortunately, the equation does not factor easily. So, we will need to use numerical methods or a calculator to find the solutions.
3x^2 + 9 = 729x^3 + 1458x^2 + 972x + 324
Firstly, let's move all terms to one side to get a zero on the other side:
729x^3 + 1458x^2 + 972x + 324 - 3x^2 - 9 = 0
Simplifying:
729x^3 + 1455x^2 + 972x + 315 = 0
Unfortunately, the equation does not factor easily. So, we will need to use numerical methods or a calculator to find the solutions.