Question
Find the roots
p=−31314415
Alternative Form
p≈−0.785073
Evaluate
31p3+15
To find the roots of the expression,set the expression equal to 0
31p3+15=0
Move the constant to the right-hand side and change its sign
31p3=0−15
Removing 0 doesn't change the value,so remove it from the expression
31p3=−15
Divide both sides
3131p3=31−15
Divide the numbers
p3=31−15
Use b−a=−ba=−ba to rewrite the fraction
p3=−3115
Take the 3-th root on both sides of the equation
3p3=3−3115
Calculate
p=3−3115
Solution
More Steps

Evaluate
3−3115
An odd root of a negative radicand is always a negative
−33115
To take a root of a fraction,take the root of the numerator and denominator separately
−331315
Multiply by the Conjugate
331×3312−315×3312
Simplify
331×3312−315×3961
Multiply the numbers
More Steps

Evaluate
−315×3961
The product of roots with the same index is equal to the root of the product
−315×961
Calculate the product
−314415
331×3312−314415
Multiply the numbers
More Steps

Evaluate
331×3312
The product of roots with the same index is equal to the root of the product
331×312
Calculate the product
3313
Reduce the index of the radical and exponent with 3
31
31−314415
Calculate
−31314415
p=−31314415
Alternative Form
p≈−0.785073
Show Solution
