Question
Solve the equation
x1=−73349,x2=73349
Alternative Form
x1≈−1.568274,x2≈1.568274
Evaluate
7x3=27
Separate the equation into 2 possible cases
7x3=277x3=−27
Solve the equation for x
More Steps

Evaluate
7x3=27
Divide both sides
77x3=727
Divide the numbers
x3=727
Take the 3-th root on both sides of the equation
3x3=3727
Calculate
x=3727
Simplify the root
More Steps

Evaluate
3727
To take a root of a fraction,take the root of the numerator and denominator separately
37327
Simplify the radical expression
373
Multiply by the Conjugate
37×3723372
Simplify
37×3723349
Multiply the numbers
73349
x=73349
x=733497x3=−27
Solve the equation for x
More Steps

Evaluate
7x3=−27
Divide both sides
77x3=7−27
Divide the numbers
x3=7−27
Use b−a=−ba=−ba to rewrite the fraction
x3=−727
Take the 3-th root on both sides of the equation
3x3=3−727
Calculate
x=3−727
Simplify the root
More Steps

Evaluate
3−727
An odd root of a negative radicand is always a negative
−3727
To take a root of a fraction,take the root of the numerator and denominator separately
−37327
Simplify the radical expression
−373
Multiply by the Conjugate
37×372−3372
Simplify
37×372−3349
Multiply the numbers
7−3349
Calculate
−73349
x=−73349
x=73349x=−73349
Solution
x1=−73349,x2=73349
Alternative Form
x1≈−1.568274,x2≈1.568274
Show Solution
