Question

Find the unknown. $$(y-5)^{2}+12=0$$

Name: Problem 44, Chapter 0: Applied Calculus For Business, Economics, and Finance
Uploaded: 2021-03-24T19:12:33-08:00
Duration: 1 min 58 s
Channel: Gregory Higby
Description: Find the unknown. (y-5)^2+12=0

   Find the unknown.
$$(y-5)^{2}+12=0$$

Applied Calculus For Business, Economics, and Finance

Warren B. Gordon,…

Chapter 0, Problem 44

Instant Answer

Solved by Expert Gregory Higby

03/24/2021

Step 1

We can do this by subtracting 12 from both sides of the equation. $$(y-5)^{2}+12-12=0-12$$ This simplifies to: $$(y-5)^{2}=-12$$ Show more…

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Find the unknown. $$(y-5)^{2}+12=0$$

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Key Concepts

Imaginary Unit (i)

The imaginary unit, denoted as i, is defined by the property that i² = -1. It allows for the definition and manipulation of complex numbers, enabling the solutions of equations that yield the square root of a negative number.

Quadratic Equations

Quadratic equations are polynomial equations of degree two. They often involve squared terms and require techniques such as factoring, completing the square, or using the quadratic formula to find the possible values of the unknown variable.

Complex Numbers

Complex numbers extend the real number system to include solutions to equations that have no real roots. When the discriminant in a quadratic equation is negative, this necessitates the use of complex numbers, which consist of a real and an imaginary part.

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