I know the answer is d= -1.6 or d=9.7what are the steps to solve this type of problem?. Created by heather W. science-mathematics-en - physics-en

How do you solve the equation d + 0.04 = +-√2 * d?

May 2021 2 112 Report

How do you solve the equation d + 0.04 = +-√2 * d?

I know the answer is d= -1.6 or d=9.7

what are the steps to solve this type of problem?

Firstly, neither -1.6 or 9.7 satisfy this equation

To solve:

d + 0.04 = +-√2 * d

d^2 + 0.08d + 0.0016 = 2 * d^2 <------ Square both sides of the equation

d^2 - 0.08d - 0.0016 = 0 <------ Rearrange to get the standard quadratic form

(d + 0.0166) * (d - 0.0965) = 0 <------ Factorize

Which gives the answers:

d= -0.0166 or d= 0.0965