What Is the Bath Temperature When Gold Wire Resistance Increases?

[sharpnova]

Homework Statement

At 30±C, the resistance of a segment of gold wire is 79 ohms*.
When the wire is placed in a liquid bath,
the resistance increases to 165 *ohms.
The temperature coefficient is 0.0034/C at 20 degrees celsius.
What is the temperature of the bath? An-
swer in units of C.

Homework Equations

Resistance = R(initial)[1+ alpha (T(final) - T(initial)]

The Attempt at a Solution

165 = 79 * ( 1 + .0034 * (T_final - 30) )

T_final = 350.1787


I'm submitting this and it's saying I'm wrong. Is the homework service in error?

 

[Astronuc]

The relevant equation is correct.

The answer is correct for the given inputs.