Question
Solve the equation
Solve for j
j=−19336822
Alternative Form
j≈−1.750984
Evaluate
j3×38=−204
Use the commutative property to reorder the terms
38j3=−204
Divide both sides
3838j3=38−204
Divide the numbers
j3=38−204
Divide the numbers
More Steps

Evaluate
38−204
Cancel out the common factor 2
19−102
Use b−a=−ba=−ba to rewrite the fraction
−19102
j3=−19102
Take the 3-th root on both sides of the equation
3j3=3−19102
Calculate
j=3−19102
Solution
More Steps

Evaluate
3−19102
An odd root of a negative radicand is always a negative
−319102
To take a root of a fraction,take the root of the numerator and denominator separately
−3193102
Rewrite the expression
319−3102
Multiply by the Conjugate
319×3192−3102×3192
Simplify
319×3192−3102×3361
Multiply the numbers
More Steps

Evaluate
−3102×3361
The product of roots with the same index is equal to the root of the product
−3102×361
Calculate the product
−336822
319×3192−336822
Multiply the numbers
More Steps

Evaluate
319×3192
The product of roots with the same index is equal to the root of the product
319×192
Calculate the product
3193
Reduce the index of the radical and exponent with 3
19
19−336822
Calculate
−19336822
j=−19336822
Alternative Form
j≈−1.750984
Show Solution