Question
Find the roots
w1=−2506,w2=2506
Alternative Form
w1≈−44.988888,w2≈44.988888
Evaluate
2024−w2
To find the roots of the expression,set the expression equal to 0
2024−w2=0
Move the constant to the right-hand side and change its sign
−w2=0−2024
Removing 0 doesn't change the value,so remove it from the expression
−w2=−2024
Change the signs on both sides of the equation
w2=2024
Take the root of both sides of the equation and remember to use both positive and negative roots
w=±2024
Simplify the expression
More Steps

Evaluate
2024
Write the expression as a product where the root of one of the factors can be evaluated
4×506
Write the number in exponential form with the base of 2
22×506
The root of a product is equal to the product of the roots of each factor
22×506
Reduce the index of the radical and exponent with 2
2506
w=±2506
Separate the equation into 2 possible cases
w=2506w=−2506
Solution
w1=−2506,w2=2506
Alternative Form
w1≈−44.988888,w2≈44.988888
Show Solution
