Question
Simplify the expression
x2−30350
Evaluate
x2×1−30350
Solution
x2−30350
Show Solution

Find the roots
x1=−51214,x2=51214
Alternative Form
x1≈−174.212514,x2≈174.212514
Evaluate
x2×1−30350
To find the roots of the expression,set the expression equal to 0
x2×1−30350=0
Any expression multiplied by 1 remains the same
x2−30350=0
Move the constant to the right-hand side and change its sign
x2=0+30350
Removing 0 doesn't change the value,so remove it from the expression
x2=30350
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±30350
Simplify the expression
More Steps

Evaluate
30350
Write the expression as a product where the root of one of the factors can be evaluated
25×1214
Write the number in exponential form with the base of 5
52×1214
The root of a product is equal to the product of the roots of each factor
52×1214
Reduce the index of the radical and exponent with 2
51214
x=±51214
Separate the equation into 2 possible cases
x=51214x=−51214
Solution
x1=−51214,x2=51214
Alternative Form
x1≈−174.212514,x2≈174.212514
Show Solution
