Concept explainers
To relate: solutions of equations and x-intercepts of graphs.
Explanation of Solution
Given information:
solutions of equations and x-intercepts of graphs.
Formula used:
The solution of an equation is called the root of the equation.
Proof:
Consider the example ,
Now,
Subtracting 10 from both the sides
Divide both the sides by 4.
Therefore, the solution of the equation is
The solution of the equation is the root of the equation i.e. the root of the equation is
Now, we will consider
Subtracting 10 from both the sides
Divide both the sides by 4.
The zero of the function is the x-intercept of the graph of the function .
Hence , the function
This shows that solutions of equations results in value of x and the roots of an equation can be find out by finding the zero of its related function.
Hence Proved.
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Glencoe Algebra 2 Student Edition C2014
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