step 1 We use our quadratic formula when the x, this one is double u, so w1 and 2 equal to minus b plus

W^2=484 | Numerade

Name: Problem 9, Chapter 9: Elementary Algebra
Uploaded: 2020-04-07T20:18:38-08:00
Duration: 45 s
Channel: Linh Vu
Description: w^2=484

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Key Concepts

Quadratic Equations

A quadratic equation is any equation that can be written in the form ax² + bx + c = 0, where a, b, and c are constants and a ? 0. The specific equation given is a simple quadratic equation that involves only a squared term and a constant, illustrating the basic form encountered in algebra.

Square Roots

The concept of square roots involves finding a value that, when multiplied by itself, gives the original number. In the context of the equation w² = 484, taking the square root of both sides is used to determine the possible values of w.

Positive and Negative Solutions

Because squaring a number eliminates any sign, both positive and negative numbers can be solutions to an equation like w² = 484. This concept is crucial when solving quadratic equations by applying the square root operation, ensuring that both solutions (w = positive number and w = negative number) are considered.

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