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Concept explainers
To solve for the unknown value in the given equation.
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Answer to Problem 71A
P=±2.053 .
Explanation of Solution
Given information:
The given equation is P2−186.735.65P=−23.30P3.04.
Calculation:
We have been given the equation as P2−186.735.65P=−23.30P3.04.
We will perform some basic mathematical operation to solve the given equation as below.
P2−186.735.65P=−23.30P3.04
⇒3.04(P2−186.73)=−23.30P×5.65P {Cross multiply}
⇒3.04P2−567.6592=−131.645P2
⇒3.04P2+131.645P2=567.6592 {Bringing the variable on one side}
⇒134.685P2=567.6592 {Simplify}
⇒134.685134.685P2=567.6592134.685 {Dividing by 134.685 on both sides}
⇒P2=4.215
⇒P=±√4.215
⇒P=±2.053
Check:
P2−186.735.65P=−23.30P3.04
(2.053)2−186.735.65×2.053=−23.30×2.0533.04
4.215−186.7311.599=−47.8353.04
−182.51511.599=−47.8353.04
−15.735≈ 15.735
Hence, solution of the equation will be given by-
P=±2.053 .
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Chapter 46 Solutions
Mathematics For Machine Technology
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