Question
Find the roots
x1=−1010,x2=1010
Alternative Form
x1≈−31.622777,x2≈31.622777
Evaluate
x2−1000
To find the roots of the expression,set the expression equal to 0
x2−1000=0
Move the constant to the right-hand side and change its sign
x2=0+1000
Removing 0 doesn't change the value,so remove it from the expression
x2=1000
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1000
Simplify the expression
More Steps

Evaluate
1000
Write the expression as a product where the root of one of the factors can be evaluated
100×10
Write the number in exponential form with the base of 10
102×10
The root of a product is equal to the product of the roots of each factor
102×10
Reduce the index of the radical and exponent with 2
1010
x=±1010
Separate the equation into 2 possible cases
x=1010x=−1010
Solution
x1=−1010,x2=1010
Alternative Form
x1≈−31.622777,x2≈31.622777
Show Solution
