Question
Solve the equation
y=−143588
Alternative Form
y≈−0.598408
Evaluate
42y3=−9
Divide both sides
4242y3=42−9
Divide the numbers
y3=42−9
Divide the numbers
More Steps

Evaluate
42−9
Cancel out the common factor 3
14−3
Use b−a=−ba=−ba to rewrite the fraction
−143
y3=−143
Take the 3-th root on both sides of the equation
3y3=3−143
Calculate
y=3−143
Solution
More Steps

Evaluate
3−143
An odd root of a negative radicand is always a negative
−3143
To take a root of a fraction,take the root of the numerator and denominator separately
−31433
Multiply by the Conjugate
314×3142−33×3142
Simplify
314×3142−33×3196
Multiply the numbers
More Steps

Evaluate
−33×3196
The product of roots with the same index is equal to the root of the product
−33×196
Calculate the product
−3588
314×3142−3588
Multiply the numbers
More Steps

Evaluate
314×3142
The product of roots with the same index is equal to the root of the product
314×142
Calculate the product
3143
Reduce the index of the radical and exponent with 3
14
14−3588
Calculate
−143588
y=−143588
Alternative Form
y≈−0.598408
Show Solution
