To figure out if the numbers 10 and 30 are solutions to a quadratic equation, we first need to know what the equation is! A regular quadratic equation looks like this:
\[ ax^2 + bx + c = 0 \]
In this equation, \( a \), \( b \), and \( c \) are just some numbers, and \( x \) is the number we want to plug in to see if it works.
So, if we want to check if 10 is a solution, we replace \( x \) with 10 in the equation. We do the math and see if the equation equals 0. If it does, then 10 is a solution!
We do the same for 30. We replace \( x \) with 30 and do the math. If that equals 0 too, then 30 is also a solution!
So, to find out if 10 and 30 are solutions, we need to know the exact equation first!