To calculate the solution of the given set of equations.
Answer to Problem 35E
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 two 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(0.1), substituting the value,
On solving,
For f(0.2), substituting the value,
On solving,
Since, f(0.1)<0 and f(0.2)<0, the zero is between 0.1 and 0.2
Since f(0.1) is closer to zero than f(0.1), so decrease the guess and evaluate f(0.2)
For f(0.19) substituting the values,
On solving,
For f(0.18) substituting the values,
On solving,
Because, f(0.19) is the closest to 0
Therefore,
For y, substituting the values,
On solving,
Evaluating f(x) between
For f(-2.5), substituting the value,
On solving,
For f(-2.4), substituting the value,
On solving,
Since, f(-2.4)<0 and f(-2.5)<0, the zero is between -2.4 and -2.5
Since f(-2.5) is closer to zero than f(-2.4), so decrease the guess and evaluate f(2.5)
For f(-2.51) substituting the values,
On solving,
For f(-2.52) substituting the values,
On solving,
For f(-2.53) substituting the values,
On solving,
For f(-2.54) substituting the values,
On solving,
Because, f(2.53) is the closest to 0
Therefore,
For y, substituting the values,
On solving,
Hence, the solution is
Chapter 9 Solutions
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