Complete the square to factor x^2 +10x=-8

Step-by-step explanation:

X² + 10x = -8

add to both side the square of half the coefficient of X which is 5²

X² + 10x + (10/2)² = -8 + (10/2)²

X² + 5² = -8 + 5²

( X + 5 )² = -8 + 25

(X + 5)² = 17

X + 5 = +- √17

Therefore, X = -5 +- √17.

X = -5 + √17 , -5 - √17.

i dont know

step-by-step explanation:

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.