The solutions of the equation are x = 1.92 and x = 0.201.
We have a equation -
[tex]\sqrt{x+2} = 3x^{2} -4x-1[/tex]
We have to solve it using a graphic calculator.
(A graphic calculator is described below. There is no need to buy it, you can access online graphic calculator).
What is a Graphing Calculator
A graphing calculator is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables
According to question, we have -
[tex]\sqrt{x+2} = 3x^{2} -4x-1[/tex]
Go to the link mentioned above and enter the equation -
[tex]\sqrt{x+2} - 3x^{2} +4x+1=0[/tex]
Let's say -
y = [tex]\sqrt{x+2} - 3x^{2} +4x+1=0[/tex]
The graph plotted will be similar to the one in the image attached with the question.
You can see that the graph cuts the x - axis at x = 1.92 and x = 0.201. These two are the solutions of the equation.
Hence, the solutions of the equation are x = 1.92 and x = 0.201.
To solve more questions on Solutions of Equations , visit the link below -
https://brainly.com/question/10524752
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