Final answer:
The student's question lacks sufficient information to find the values of 'a' and 'b'. They need to provide an equation or context where 'a' and 'b' are actually used. However, if dealing with a quadratic equation, 'a', 'b', and 'c' are coefficients that can be used in the quadratic formula to find solutions for the variable.
Step-by-step explanation:
To find the value of a and b when x=10, given that the operation is 5x squared divided by 2, we would simply substitute x with 10 and evaluate the expression. However, it's unclear how a and b relate to this operation since they are not defined within the context of the provided expression. This can often happen when dealing with algebraic expressions—sometimes you have to keep the variables as they are if you don't have enough information to solve for them.
To explain the equation provided in one of the hints: x² + 1.2 x 10⁻²x - 6.0 × 10⁻³ = 0, the quadratic formula would be used, where 'a', 'b', and 'c' are the coefficients of the equation ax² + bx + c = 0. However, without the specific question, we can't solve for 'a' and 'b' without more information.
In relation to the provided example using the quadratic formula, to solve the equation t² + 10t - 200 = 0, you would identify a = 1.00, b = 10.0, and c = -200. These values are then plugged into the quadratic formula, which is -b ± √(b² - 4ac) / (2a), to find the value of 't'.