Factorise:x^2 + 7x + 10 =0

x = − 5, − 2

Step-by-step explanation:

x² + 7x + 10 = 0

x² + 5x + 2x + 10 = 0

x(x + 5) + 2 (x + 5) = 0

(x + 5)(x + 2) = 0

x = − 5, − 2

-TheUnknownScientist

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.