4a In the imaginary case that T=0, what would the depth be?

4a • State a, b and c for the quadratic:

4a • State a, b and c for the quadratic:

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

• Solve for the two possible roots:

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

• Solve for the two possible roots:

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

• Solve for the two possible roots:

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

• Solve for the two possible roots:

• Depth cannot be negative so z1 is not a valid answer.

4b More realistically, at what depths does the equation predict that the temperature will reach 2000°C?

4b • Substitute the temperature into the equation:

4b • Substitute the temperature into the equation:

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

• Substitute the values of a, b and c into the quadratic formula and solve for the two roots:

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

• Substitute the values of a, b and c into the quadratic formula and solve for the two roots:

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

• Substitute the values of a, b and c into the quadratic formula and solve for the two roots:

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

• Substitute the values of a, b and c into the quadratic formula and solve for the two roots: