Question
Solve the equation
x1=−734018,x2=734018
Alternative Form
x1≈−2.271112,x2≈2.271112
Evaluate
(2×4x3)=741
Multiply the terms
More Steps

Multiply the terms
2×4x3
Cancel out the common factor 2
1×2x3
Multiply the terms
2x3
2x3=741
Separate the equation into 2 possible cases
2x3=7412x3=−741
Solve the equation for x
More Steps

Evaluate
2x3=741
Multiply both sides of the equation by 2
2x3×2=741×2
Multiply the terms
x3=741×2
Divide the terms
x3=782
Take the 3-th root on both sides of the equation
3x3=3782
Calculate
x=3782
Simplify the root
More Steps

Evaluate
3782
To take a root of a fraction,take the root of the numerator and denominator separately
37382
Multiply by the Conjugate
37×372382×372
Simplify
37×372382×349
Multiply the numbers
37×37234018
Multiply the numbers
734018
x=734018
x=7340182x3=−741
Solve the equation for x
More Steps

Evaluate
2x3=−741
Rewrite the expression
2x3=7−41
Multiply both sides of the equation by 2
2x3×2=7−41×2
Multiply the terms
x3=7−41×2
Divide the terms
x3=−782
Take the 3-th root on both sides of the equation
3x3=3−782
Calculate
x=3−782
Simplify the root
More Steps

Evaluate
3−782
An odd root of a negative radicand is always a negative
−3782
To take a root of a fraction,take the root of the numerator and denominator separately
−37382
Multiply by the Conjugate
37×372−382×372
Simplify
37×372−382×349
Multiply the numbers
37×372−34018
Multiply the numbers
7−34018
Calculate
−734018
x=−734018
x=734018x=−734018
Solution
x1=−734018,x2=734018
Alternative Form
x1≈−2.271112,x2≈2.271112
Show Solution
