Question
Solve the equation
x1=−24178,x2=24178
Alternative Form
x1≈−1.826312,x2≈1.826312
Evaluate
8x×x3=89
Multiply
More Steps

Evaluate
8x×x3
Multiply the terms with the same base by adding their exponents
8x1+3
Add the numbers
8x4
8x4=89
Divide both sides
88x4=889
Divide the numbers
x4=889
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4889
Simplify the expression
More Steps

Evaluate
4889
To take a root of a fraction,take the root of the numerator and denominator separately
48489
Multiply by the Conjugate
48×483489×483
Simplify
48×483489×2242
Multiply the numbers
More Steps

Evaluate
489×2242
Multiply the terms
4178×22
Use the commutative property to reorder the terms
224178
48×483224178
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
23224178
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
24178
x=±24178
Separate the equation into 2 possible cases
x=24178x=−24178
Solution
x1=−24178,x2=24178
Alternative Form
x1≈−1.826312,x2≈1.826312
Show Solution
