Final answer:
10 is not a solution to the quadratic equation 20 + 3x = x² as substituting the value 10 into the equation gives an untrue statement (50 = 100). Quadratic equations typically have two solutions which can be found using several methods, including the quadratic formula.
Step-by-step explanation:
The question "Is 10 a solution of (20 + 3x = x²)?" is a mathematics problem that involves determining whether the given value, 10, satisfies the quadratic equation. To solve this, we start by plugging the value into the equation:
20 + 3(10) = 10²
20 + 30 = 100
50 = 100
This result tells us that 50 is not equal to 100, so 10 is not a solution to the equation 20 + 3x = x². In general, quadratic equations will have two solutions and can be used to represent various scenarios including those in physics, like the time it takes to merge onto a freeway on-ramp. These solutions can be found using methods such as factoring, completing the square, or applying the quadratic formula.