Question
Solve the equation
x1=−113636×1135,x2=113636×1135
Alternative Form
x1≈−0.826426,x2≈0.826426
Evaluate
x6×565=180
Use the commutative property to reorder the terms
565x6=180
Divide both sides
565565x6=565180
Divide the numbers
x6=565180
Cancel out the common factor 5
x6=11336
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±611336
Simplify the expression
More Steps

Evaluate
611336
To take a root of a fraction,take the root of the numerator and denominator separately
6113636
Simplify the radical expression
611336
Multiply by the Conjugate
6113×6113536×61135
Multiply the numbers
More Steps

Evaluate
36×61135
Use na=mnam to expand the expression
662×61135
The product of roots with the same index is equal to the root of the product
662×1135
Calculate the product
636×1135
6113×61135636×1135
Multiply the numbers
More Steps

Evaluate
6113×61135
The product of roots with the same index is equal to the root of the product
6113×1135
Calculate the product
61136
Reduce the index of the radical and exponent with 6
113
113636×1135
x=±113636×1135
Separate the equation into 2 possible cases
x=113636×1135x=−113636×1135
Solution
x1=−113636×1135,x2=113636×1135
Alternative Form
x1≈−0.826426,x2≈0.826426
Show Solution
