To calculate the solution of the given set of equations.
Answer to Problem 33E
The solution is
Explanation of Solution
Given information:
Formula used:
Approximation
Calculation:
Equation 1 is
Equation 2 is
Graphing the two equations,
Concluding from the graph, the set of equation has one solution, which lines between
Substituting equation 2 in equation 1,
Shifting the values,
Since, this equations cannot be solved algebraically, let,
Evaluating f(x) between
For f(2.3), substituting the value,
On solving,
For f(2.4), substituting the value,
On solving,
Since, f(2.3)>0 and f(2.4)<0, the zero is between 2.3 and 2.4
Since f(2.3) is closer to zero than f(2.4), so increases the guess and evaluate f(2.31)
For f(2.31) substituting the values,
On solving,
For f(2.32) substituting the values,
On solving,
For f(2.33) substituting the values,
On solving,
For f(2.34) substituting the values,
On solving,
For f(2.35) substituting the values,
On solving,
For f(2.36) substituting the values,
On solving,
Because, f(2.35) is the closest to 0
Therefore,
For y, substituting the values,
On solving,
Hence, the solution is
Chapter 9 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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