Question
Solve the equation
x1=−5269375,x2=5269375
Alternative Form
x1≈−1.836772,x2≈1.836772
Evaluate
x2×x4×5=192
Multiply
More Steps

Evaluate
x2×x4×5
Multiply the terms with the same base by adding their exponents
x2+4×5
Add the numbers
x6×5
Use the commutative property to reorder the terms
5x6
5x6=192
Divide both sides
55x6=5192
Divide the numbers
x6=5192
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±65192
Simplify the expression
More Steps

Evaluate
65192
To take a root of a fraction,take the root of the numerator and denominator separately
656192
Simplify the radical expression
More Steps

Evaluate
6192
Write the expression as a product where the root of one of the factors can be evaluated
664×3
Write the number in exponential form with the base of 2
626×3
The root of a product is equal to the product of the roots of each factor
626×63
Reduce the index of the radical and exponent with 6
263
65263
Multiply by the Conjugate
65×655263×655
Simplify
65×655263×63125
Multiply the numbers
More Steps

Evaluate
63×63125
The product of roots with the same index is equal to the root of the product
63×3125
Calculate the product
69375
65×655269375
Multiply the numbers
More Steps

Evaluate
65×655
The product of roots with the same index is equal to the root of the product
65×55
Calculate the product
656
Reduce the index of the radical and exponent with 6
5
5269375
x=±5269375
Separate the equation into 2 possible cases
x=5269375x=−5269375
Solution
x1=−5269375,x2=5269375
Alternative Form
x1≈−1.836772,x2≈1.836772
Show Solution
