Question
Solve the equation
y1=−249736,y2=249736
Alternative Form
y1≈−4.966668,y2≈4.966668
Evaluate
4868=y4×8
Use the commutative property to reorder the terms
4868=8y4
Swap the sides of the equation
8y4=4868
Divide both sides
88y4=84868
Divide the numbers
y4=84868
Cancel out the common factor 4
y4=21217
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±421217
Simplify the expression
More Steps

Evaluate
421217
To take a root of a fraction,take the root of the numerator and denominator separately
4241217
Multiply by the Conjugate
42×42341217×423
Simplify
42×42341217×48
Multiply the numbers
More Steps

Evaluate
41217×48
The product of roots with the same index is equal to the root of the product
41217×8
Calculate the product
49736
42×42349736
Multiply the numbers
More Steps

Evaluate
42×423
The product of roots with the same index is equal to the root of the product
42×23
Calculate the product
424
Reduce the index of the radical and exponent with 4
2
249736
y=±249736
Separate the equation into 2 possible cases
y=249736y=−249736
Solution
y1=−249736,y2=249736
Alternative Form
y1≈−4.966668,y2≈4.966668
Show Solution
