To use substitution for the quadratic equation 3x² – 7x + 8 = 0, we can define a new variable to simplify the process. Let’s substitute y = x.
Substituting this into our original equation, we get:
- 3y² – 7y + 8 = 0
This is now a quadratic equation in terms of y. The equation remains equivalent because we simply changed the variable name from x to y. This approach can often help in making the equation easier to handle, especially if we want to apply specific methods or factorization techniques.
Thus, the equivalent quadratic equation using substitution is 3y² – 7y + 8 = 0.