Question
Solve the equation
x1=−248,x2=248
Alternative Form
x1≈−0.840896,x2≈0.840896
Evaluate
2x3×x=1
Multiply
More Steps

Evaluate
2x3×x
Multiply the terms with the same base by adding their exponents
2x3+1
Add the numbers
2x4
2x4=1
Divide both sides
22x4=21
Divide the numbers
x4=21
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±421
Simplify the expression
More Steps

Evaluate
421
To take a root of a fraction,take the root of the numerator and denominator separately
4241
Simplify the radical expression
421
Multiply by the Conjugate
42×423423
Simplify
42×42348
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
248
x=±248
Separate the equation into 2 possible cases
x=248x=−248
Solution
x1=−248,x2=248
Alternative Form
x1≈−0.840896,x2≈0.840896
Show Solution
