Question
Solve the equation
x1=−34216,x2=34216
Alternative Form
x1≈−1.277886,x2≈1.277886
Evaluate
4=21×3x4
Multiply the numbers
4=23x4
Swap the sides of the equation
23x4=4
Multiply by the reciprocal
23x4×32=4×32
Multiply
x4=4×32
Multiply
More Steps

Evaluate
4×32
Multiply the numbers
34×2
Multiply the numbers
38
x4=38
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±438
Simplify the expression
More Steps

Evaluate
438
To take a root of a fraction,take the root of the numerator and denominator separately
4348
Multiply by the Conjugate
43×43348×433
Simplify
43×43348×427
Multiply the numbers
More Steps

Evaluate
48×427
The product of roots with the same index is equal to the root of the product
48×27
Calculate the product
4216
43×4334216
Multiply the numbers
More Steps

Evaluate
43×433
The product of roots with the same index is equal to the root of the product
43×33
Calculate the product
434
Reduce the index of the radical and exponent with 4
3
34216
x=±34216
Separate the equation into 2 possible cases
x=34216x=−34216
Solution
x1=−34216,x2=34216
Alternative Form
x1≈−1.277886,x2≈1.277886
Show Solution
