Question
Solve the equation
x1=−7684035,x2=7684035
Alternative Form
x1≈−0.945465,x2≈0.945465
Evaluate
3x6×84=180
Multiply the terms
252x6=180
Divide both sides
252252x6=252180
Divide the numbers
x6=252180
Cancel out the common factor 36
x6=75
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±675
Simplify the expression
More Steps

Evaluate
675
To take a root of a fraction,take the root of the numerator and denominator separately
6765
Multiply by the Conjugate
67×67565×675
Simplify
67×67565×616807
Multiply the numbers
More Steps

Evaluate
65×616807
The product of roots with the same index is equal to the root of the product
65×16807
Calculate the product
684035
67×675684035
Multiply the numbers
More Steps

Evaluate
67×675
The product of roots with the same index is equal to the root of the product
67×75
Calculate the product
676
Reduce the index of the radical and exponent with 6
7
7684035
x=±7684035
Separate the equation into 2 possible cases
x=7684035x=−7684035
Solution
x1=−7684035,x2=7684035
Alternative Form
x1≈−0.945465,x2≈0.945465
Show Solution
