Use the x-intercept method to find all real solutions of the equation. x^3-6x^2+3x+10=0

Please check the explanation.

Step-by-step explanation:

Given the equation

Step 1:

Writing the equation

Step 2:

In order to determine the x-intercept, we need to plot the graph.

All the values at y = 0 would be x-intercepts of the equation.

Please check the attached graph below.

Step 3:

It is clear from the graph, the points where y = 0, the x-values are: -1, 2 and 5.

Hence, (-1, 0) (2, 0) and (5, 0) are the x-intercepts of the equation.

Thus, x  = -1, x = 2, and x = 5 are the solution of the equation.

Hence,

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

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step-by-step explanation: