Question
Simplify the expression
1400x6−203
Evaluate
280x6×5−203
Solution
1400x6−203
Show Solution

Factor the expression
7(200x6−29)
Evaluate
280x6×5−203
Multiply the terms
1400x6−203
Solution
7(200x6−29)
Show Solution

Find the roots
x1=−200629×2005,x2=200629×2005
Alternative Form
x1≈−0.724816,x2≈0.724816
Evaluate
280x6×5−203
To find the roots of the expression,set the expression equal to 0
280x6×5−203=0
Multiply the terms
1400x6−203=0
Move the constant to the right-hand side and change its sign
1400x6=0+203
Removing 0 doesn't change the value,so remove it from the expression
1400x6=203
Divide both sides
14001400x6=1400203
Divide the numbers
x6=1400203
Cancel out the common factor 7
x6=20029
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±620029
Simplify the expression
More Steps

Evaluate
620029
To take a root of a fraction,take the root of the numerator and denominator separately
6200629
Multiply by the Conjugate
6200×62005629×62005
The product of roots with the same index is equal to the root of the product
6200×62005629×2005
Multiply the numbers
More Steps

Evaluate
6200×62005
The product of roots with the same index is equal to the root of the product
6200×2005
Calculate the product
62006
Reduce the index of the radical and exponent with 6
200
200629×2005
x=±200629×2005
Separate the equation into 2 possible cases
x=200629×2005x=−200629×2005
Solution
x1=−200629×2005,x2=200629×2005
Alternative Form
x1≈−0.724816,x2≈0.724816
Show Solution
