Solve the quadratic equation by completing the square. x^2+6x-4=0 first, choose the appropriate form and fill in the blanks with the correct numbers. then, solve the equation. if there is more than one solution, separate them with commas. form: solution:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.