Which of the following quadratic equations has the solution set 12, 5?

To determine which quadratic equation has the solution set of 12 and 5, we need to construct the quadratic equation from the given roots. The formula for a quadratic equation based on its roots, r₁ and r₂, is:

y = (x – r₁)(x – r₂)

In our case, the roots are 12 and 5. So we can substitute these values into the equation:

y = (x – 12)(x – 5)

Now, we’ll expand this equation:

y = x² – 5x – 12x + 60

Combining the like terms gives us:

y = x² – 17x + 60

Therefore, the quadratic equation with the solution set {12, 5} is:

y = x² – 17x + 60