Question
Solve the equation
x1=−24158,x2=24158
Alternative Form
x1≈−1.772696,x2≈1.772696
Evaluate
8x×x3=79
Multiply
More Steps

Evaluate
8x×x3
Multiply the terms with the same base by adding their exponents
8x1+3
Add the numbers
8x4
8x4=79
Divide both sides
88x4=879
Divide the numbers
x4=879
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4879
Simplify the expression
More Steps

Evaluate
4879
To take a root of a fraction,take the root of the numerator and denominator separately
48479
Multiply by the Conjugate
48×483479×483
Simplify
48×483479×2242
Multiply the numbers
More Steps

Evaluate
479×2242
Multiply the terms
4158×22
Use the commutative property to reorder the terms
224158
48×483224158
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
23224158
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
24158
x=±24158
Separate the equation into 2 possible cases
x=24158x=−24158
Solution
x1=−24158,x2=24158
Alternative Form
x1≈−1.772696,x2≈1.772696
Show Solution
