step 1 X squared plus 14x minus 7 equals 0. We'll solve this by completing the square. First step is go

Question

$x^2-14 x-7=0$

Name: Problem 34, Chapter 8: Elementary and Intermediate Algebra
Uploaded: 2020-04-22T22:15:38-08:00
Duration: 1 min 26 s
Channel: Cory Kuzinski
Description: x^2-14 x-7=0

   $x^2-14 x-7=0$

Elementary and Intermediate Algebra

Stefan Baratto,… 4th Edition

Chapter 8, Problem 34

Instant Answer

Solved by Expert Cory Kuzinski

04/22/2020

Step 1

The given equation is a quadratic equation of the form $ ax^2 + bx + c = 0 $, where $ a = 1 $, $ b = -14 $, and $ c = -7 $. Show more…

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Key Concepts

Quadratic Formula

The quadratic formula, given by x = [-b ± ?(b² - 4ac)] / (2a), is a universal method for solving quadratic equations. Its importance lies in its ability to find the exact roots of any quadratic equation, regardless of whether the equation is factorable.

Quadratic Equation

A quadratic equation is a second-degree polynomial equation in one variable, typically written in the form ax² + bx + c = 0. This fundamental concept in algebra involves finding the value(s) of the variable that satisfy the equation, and it serves as a key building block for understanding polynomial functions and their graphs.

Discriminant

The discriminant is the component of the quadratic equation defined by b² - 4ac. It provides crucial information about the nature of the equation's roots, indicating whether the roots are real and distinct, real and equal, or complex when it is positive, zero, or negative, respectively.

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