step 1 In this problem, we have x square is equals to 16 minus z square. For the first part, we want to

Question

$z^{2}=128$

Name: Problem 21, Chapter 9: Elementary Algebra
Uploaded: 2023-10-30T17:26:46-08:00
Duration: 2 min 35 s
Channel: Aman Gupta
Description: z^2=128

   $z^{2}=128$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 9, Problem 21

Instant Answer

Solved by Expert Aman Gupta

10/30/2023

Step 1

Step 1: Write the equation We have the equation: z^2 = 128 Show more…

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$z^{2}=128$

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Key Concepts

Quadratic Equations

Quadratic equations are polynomial equations of degree two, typically expressed in the form ax² + bx + c = 0. Solving them involves finding the values of the variable that satisfy the equation, often by applying methods such as factoring, completing the square, or using the quadratic formula.

Square Roots

The square root of a number is a value that, when multiplied by itself, gives the original number. In solving equations like z² = 128, the concept of square roots is crucial to determine the potential values of z, including both the positive and negative solutions.

Radical Simplification

Radical simplification involves expressing square roots in their simplest form by identifying and extracting perfect square factors. For instance, simplifying ?128 by rewriting it as ?(64×2) results in a more streamlined expression, which is often preferred in algebraic solutions.

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