How to Solve an Equation Involving a Determinant?

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SUMMARY

The discussion focuses on solving the equation involving a determinant, specifically det x (x+2) = 9 2x. The user correctly derived the quadratic equation 2x^2 - 9x - 18 = 0. The consensus is that the next step is to solve this quadratic equation and verify the solutions against the original determinant equation.

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  • Understanding of determinants in linear algebra
  • Familiarity with quadratic equations and their solutions
  • Basic algebraic manipulation skills
  • Knowledge of verifying solutions in mathematical equations
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  • Solve the quadratic equation 2x^2 - 9x - 18 = 0 using the quadratic formula
  • Learn about the properties of determinants and their applications
  • Explore methods for verifying solutions in algebraic equations
  • Study the implications of determinant equations in linear transformations
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Students studying algebra, mathematics tutors, and anyone interested in solving equations involving determinants and quadratic functions.

rowdy3
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Solve the following equation involving a determinant

det x (x+2)
9 2x = 0
I did x * 2x - 9(x+2)
It came out to 2x^2 - 9x - 18 = 0
Do I have to do anything else like a quadratic equation? I went to a math tutor and he wasn't sure. I scanned the problem and it's number 11.
http://pic20.picturetrail.com/VOL1370/5671323/23539305/392720959.jpg
 
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No. You simply solve the quadratic and check your solutions within the original equation.
 

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