Question
Find the roots
w1=−1038,w2=1038
Alternative Form
w1≈−61.64414,w2≈61.64414
Evaluate
w2−3800
To find the roots of the expression,set the expression equal to 0
w2−3800=0
Move the constant to the right-hand side and change its sign
w2=0+3800
Removing 0 doesn't change the value,so remove it from the expression
w2=3800
Take the root of both sides of the equation and remember to use both positive and negative roots
w=±3800
Simplify the expression
More Steps

Evaluate
3800
Write the expression as a product where the root of one of the factors can be evaluated
100×38
Write the number in exponential form with the base of 10
102×38
The root of a product is equal to the product of the roots of each factor
102×38
Reduce the index of the radical and exponent with 2
1038
w=±1038
Separate the equation into 2 possible cases
w=1038w=−1038
Solution
w1=−1038,w2=1038
Alternative Form
w1≈−61.64414,w2≈61.64414
Show Solution
