Question
Solve the equation
Solve for p
Solve for t
p=−∣t∣210t,t=0p=∣t∣210t,t=0
Evaluate
p2t=40
Rewrite the expression
tp2=40
Divide both sides
ttp2=t40
Divide the numbers
p2=t40
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±t40
Simplify the expression
More Steps

Evaluate
t40
To take a root of a fraction,take the root of the numerator and denominator separately
t40
Simplify the radical expression
More Steps

Evaluate
40
Write the expression as a product where the root of one of the factors can be evaluated
4×10
Write the number in exponential form with the base of 2
22×10
The root of a product is equal to the product of the roots of each factor
22×10
Reduce the index of the radical and exponent with 2
210
t210
Multiply by the Conjugate
t×t210×t
Calculate
∣t∣210×t
Calculate the product
∣t∣210t
p=±∣t∣210t
Separate the equation into 2 possible cases
p=∣t∣210tp=−∣t∣210t
Calculate
{p=−∣t∣210tt=0{p=∣t∣210tt=0
Solution
p=−∣t∣210t,t=0p=∣t∣210t,t=0
Show Solution
