Solving for kd in Quadratic Equations: Steps and Techniques

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SUMMARY

The discussion focuses on solving the quadratic equation defined by the formula b * (kd)^2 / 2 - n * As (d - kd) = 0, with specific values b = 10, n = 8, and As = 2.37. Participants emphasize that solving for kd involves deriving an expression for kd as a function of d, which is typical when dealing with two unknowns. The conversation highlights the necessity of understanding the quadratic formula, ax^2 + bx + c = 0, to manipulate the equation effectively. Additionally, criteria for ensuring kd remains a real number are discussed as part of the solution process.

PREREQUISITES
  • Understanding of quadratic equations and the quadratic formula
  • Familiarity with algebraic manipulation techniques
  • Basic knowledge of calculus concepts (if applicable)
  • Ability to interpret mathematical expressions involving multiple variables
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  • Study the quadratic formula and its applications in solving equations
  • Learn about algebraic techniques for isolating variables in equations
  • Explore the conditions for real solutions in quadratic equations
  • Investigate the role of calculus in analyzing functions and their behavior
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Students, educators, and anyone interested in mastering the techniques for solving quadratic equations with multiple variables, particularly in mathematical or engineering contexts.

fanieh
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Homework Statement



How to solve for kd or equation with 2 unknowns given:
b= 10
n= 8
As = 2.37

Homework Equations


[/B]
for the quadratic equation b * (kd)^2 /2 - n * As (d - kd) = 0

The Attempt at a Solution



should one use algebra, calculus, what? how do you solve for kd? this is not homework.. just want to know how.. please show the steps.. thanks..
 
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Why not just google the terms ?
Have you ever seen the textbook on how to solve ##\ ax^2+bx+c=0\ ## for ##\ x \ ## ?
That recipe leaves you with an expression(*) of kd as a function of d, which is all you can expect from one equation with two unknowns.

(*) actually, a bit more: you'll also get criteria for d that allow kd to be real number(s).
 
fanieh said:

Homework Statement



How to solve for kd or equation with 2 unknowns given:
b= 10
n= 8
As = 2.37

Homework Equations


[/B]
for the quadratic equation b * (kd)^2 /2 - n * As (d - kd) = 0

The Attempt at a Solution



should one use algebra, calculus, what? how do you solve for kd? this is not homework.. just want to know how.. please show the steps.. thanks..

We are not allowed to "show the steps"; that violates PF policy. We can only offer hints.
 

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