Anyone good at Geometry? I need help with this please. Thank you!

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

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.