Question
Solve the equation
x1=−246,x2=246
Alternative Form
x1≈−0.782542,x2≈0.782542
Evaluate
64x4=24
Divide both sides
6464x4=6424
Divide the numbers
x4=6424
Cancel out the common factor 8
x4=83
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±483
Simplify the expression
More Steps

Evaluate
483
To take a root of a fraction,take the root of the numerator and denominator separately
4843
Multiply by the Conjugate
48×48343×483
Simplify
48×48343×2242
Multiply the numbers
More Steps

Evaluate
43×2242
Multiply the terms
46×22
Use the commutative property to reorder the terms
2246
48×4832246
Multiply the numbers
More Steps

Evaluate
48×483
The product of roots with the same index is equal to the root of the product
48×83
Calculate the product
484
Transform the expression
4212
Reduce the index of the radical and exponent with 4
23
232246
Reduce the fraction
More Steps

Evaluate
2322
Use the product rule aman=an−m to simplify the expression
23−21
Subtract the terms
211
Simplify
21
246
x=±246
Separate the equation into 2 possible cases
x=246x=−246
Solution
x1=−246,x2=246
Alternative Form
x1≈−0.782542,x2≈0.782542
Show Solution
