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Solve the following quadratic equation however you choose to do so: SHOW WC 5x2 + 8x-4 0

Solve the following quadratic equation however you choose to do so: SHOW WC 5x2 + 8x-4 0

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Solving Quadratic Equations ### Problem Statement **Solve the following quadratic equation however you choose to do so: SHOW WORK** \[ 5x^2 + 8x - 4 = 0 \] ### Instructions 1. Choose a method to solve the quadratic equation. You can use factoring, completing the square, or the quadratic formula. 2. Show all steps and calculations that lead to your solution. ### Examples of Solution Methods #### Method 1: Quadratic Formula The quadratic formula is given by: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] For the given equation \( 5x^2 + 8x - 4 = 0 \), identify the coefficients \( a = 5 \), \( b = 8 \), and \( c = -4 \). Substitute these values into the quadratic formula and solve for \( x \). #### Method 2: Factoring If the quadratic equation can be factored into a product of binomials, set each factor equal to zero and solve for \( x \). #### Method 3: Completing the Square Rearrange the equation and complete the square to solve for \( x \). ### Note: Include detailed steps for your chosen method to ensure clarity and accuracy.
Transcribed Image Text:## Solving Quadratic Equations ### Problem Statement **Solve the following quadratic equation however you choose to do so: SHOW WORK** \[ 5x^2 + 8x - 4 = 0 \] ### Instructions 1. Choose a method to solve the quadratic equation. You can use factoring, completing the square, or the quadratic formula. 2. Show all steps and calculations that lead to your solution. ### Examples of Solution Methods #### Method 1: Quadratic Formula The quadratic formula is given by: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] For the given equation \( 5x^2 + 8x - 4 = 0 \), identify the coefficients \( a = 5 \), \( b = 8 \), and \( c = -4 \). Substitute these values into the quadratic formula and solve for \( x \). #### Method 2: Factoring If the quadratic equation can be factored into a product of binomials, set each factor equal to zero and solve for \( x \). #### Method 3: Completing the Square Rearrange the equation and complete the square to solve for \( x \). ### Note: Include detailed steps for your chosen method to ensure clarity and accuracy.
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