1. what is the solution of the equation? 36x^2=100
A. -9/25, 9/25
B. -3/5, 3/5
C. -25/9, 25,9
D. -5/3, 5/3

Question

contestada

Respuesta :

Аноним Аноним · Answer 1 · 2018-11-12T17:55:29+01:00

Start with

[tex] 36x^2 = 100 [/tex]

Divide both sides by 36:

[tex] x^2 = \dfrac{100}{36} = \left(\dfrac{10}{6}\right)^2 [/tex]

Consider the square roots of both sides. This means that we have to consider both signs:

[tex] x = \pm\dfrac{10}{6} = \pm \dfrac{5}{3} [/tex]

Answer Link

Lanuel Lanuel · Answer 2 · 2021-11-09T11:29:53+01:00

The solution of the given equation is equal to: D. [tex]\frac{-5}{3}, \; \frac{5}{3}[/tex]

Given the following equation:

To find a solution of the given equation, we would simplify it to the lowest term:

[tex]36x^2 = 100[/tex]

First of all, we would divide both sides by 36:

[tex]x^2 = \frac{100}{36}[/tex]

Next, we would simplify the fraction by dividing by 4:

[tex]x^2 = \frac{25}{9}[/tex]

Taking the square root, we have:

[tex]x = \sqrt{\frac{25}{9}} \\\\x = \pm \frac{5}{3}[/tex]

Read more: https://brainly.com/question/6201432