Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 2 1 cannot be determined

0 solution

Step-by-step explanation:

Given

Required

Find number of solutions;

The number of solutions can be determined via the value of determinants, D;

Such that

By comparing the general form of equation;

with

This gives

So;

becomes

The calculated value of D is less than 0;

This implies that has no real solution

x+14

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.