step 1 Hello. So we have x squared is equal to 144. We can write that as x squared minus 144 is equal t

X^2=144 | Numerade

Name: Problem 10, Chapter 8: Elementary and Intermediate Algebra
Uploaded: 2022-02-10T22:00:38-08:00
Duration: 28 s
Channel: Nick Johnson
Description: x^2=144

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Key Concepts

Inverse Operations

Inverse operations are techniques used to reverse the effect of another operation; in algebra, they are critical for isolating variables in an equation. For example, since squaring obscures the sign of a number, using square roots as the inverse operation helps to uncover the original value, emphasizing the importance of applying correct inverse procedures to accurately solve equations.

Quadratic Equations

Quadratic equations are polynomial equations of degree two that commonly take the form ax² + bx + c = 0. They can be solved using various methods such as factoring, the quadratic formula, or by taking square roots when the equation is in a suitable form. This concept is fundamental in algebra and provides insight into the behavior of parabolic graphs and their intersections with the x-axis.

Square Roots

Square roots are the inverse operation of squaring a number, meaning that finding the square root of a number 'y' determines a value 'x' such that x² = y. In solving equations where a variable is squared, taking the square root is a direct method that also highlights the significance of considering both positive and negative solutions, since both yield the same square under multiplication.

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