Question

4r2 - 100 = 0
solve with step by step explanation​

Answer 1

Answer:

4r² - 100 = 0

4r² = 100

r² = 100/4

r² = 25

$r \: = \: \sqrt{25}$

r = 5

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Simplifying

4r2 + -100 = 0

Reorder the terms:

-100 + 4r2 = 0

Solving

-100 + 4r2 = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '100' to each side of the equation.

-100 + 100 + 4r2 = 0 + 100

Combine like terms: -100 + 100 = 0

0 + 4r2 = 0 + 100

4r2 = 0 + 100

Combine like terms: 0 + 100 = 100

4r2 = 100

Divide each side by '4'.

r2 = 25

Simplifying

r2 = 25

Take the square root of each side:

r = {-5, 5}