= O ALGEBRAIC EQUATIONS AND INEQUALITIES Applying the quadratic formula: Exact answers Use the quadratic formula to solve for x. 4x²-5x-2=0 (If there is more than one solution, separate them with commas.) x = 0 0/0 00 X Ś

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,...
Question
## Applying the Quadratic Formula: Exact Answers

### Task:
Use the quadratic formula to solve for \( x \).

Given equation:
\[ 4x^2 - 5x - 2 = 0 \]

*Note: If there is more than one solution, separate them with commas.*

### Instructions:

1. Enter your solution in the box provided.
2. Click "Check" to verify your answer.

### Equation and Solution Area:

- **Equation**: The equation to solve is \( 4x^2 - 5x - 2 = 0 \).
- **Solution Box**: Enter the value(s) for \( x \).

### Tools:

- **Button Panel**: Located on the right, use these buttons to format your answer:
  - Fraction
  - Square root
  - Subscript

### Interactive Options:

- **Explanation**: Click to view a step-by-step guide for solving the equation.
- **Check**: Click to verify your answer.

This interface helps apply the quadratic formula, \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \], to find the exact values of \( x \) for given quadratic equations.
Transcribed Image Text:## Applying the Quadratic Formula: Exact Answers ### Task: Use the quadratic formula to solve for \( x \). Given equation: \[ 4x^2 - 5x - 2 = 0 \] *Note: If there is more than one solution, separate them with commas.* ### Instructions: 1. Enter your solution in the box provided. 2. Click "Check" to verify your answer. ### Equation and Solution Area: - **Equation**: The equation to solve is \( 4x^2 - 5x - 2 = 0 \). - **Solution Box**: Enter the value(s) for \( x \). ### Tools: - **Button Panel**: Located on the right, use these buttons to format your answer: - Fraction - Square root - Subscript ### Interactive Options: - **Explanation**: Click to view a step-by-step guide for solving the equation. - **Check**: Click to verify your answer. This interface helps apply the quadratic formula, \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \], to find the exact values of \( x \) for given quadratic equations.
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