Question
Solve the equation
a1=−261568,a2=261568
Alternative Form
a1≈−1.704228,a2≈1.704228
Evaluate
a6×2=49
Use the commutative property to reorder the terms
2a6=49
Divide both sides
22a6=249
Divide the numbers
a6=249
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±6249
Simplify the expression
More Steps

Evaluate
6249
To take a root of a fraction,take the root of the numerator and denominator separately
62649
Simplify the radical expression
More Steps

Evaluate
649
Write the number in exponential form with the base of 7
672
Reduce the index of the radical and exponent with 2
37
6237
Multiply by the Conjugate
62×62537×625
Simplify
62×62537×632
Multiply the numbers
More Steps

Evaluate
37×632
Use na=mnam to expand the expression
672×632
The product of roots with the same index is equal to the root of the product
672×32
Calculate the product
61568
62×62561568
Multiply the numbers
More Steps

Evaluate
62×625
The product of roots with the same index is equal to the root of the product
62×25
Calculate the product
626
Reduce the index of the radical and exponent with 6
2
261568
a=±261568
Separate the equation into 2 possible cases
a=261568a=−261568
Solution
a1=−261568,a2=261568
Alternative Form
a1≈−1.704228,a2≈1.704228
Show Solution
