1 of 8 0-day streak

Formulate and solve a quadratic problem

Question 1 of 8

Calculator allowed

For the calibration reading, the output is directly proportional to the square of the signed calibration offset \(z\)

The proportionality constant is \(\frac{2}{3}\), and the target reading is \(\frac{50}{3}\)

The meaningful domain is \(-10\le z\le 0\)

(a)1 mark

Identify the model equation before solving it

\frac{2}{3}z=\frac{50}{3}

z^2=\frac{50}{3}

\frac{2}{3}z^2=\frac{52}{3}

\frac{2}{3}z^2=\frac{50}{3}

(b)2 marks

What are the two exact solutions of the model equation? List them in ascending order

\(z_1\) \(z_2\)

Choose the values that have meaning in this model

Use only the larger mathematical root

Use neither root

Use both mathematical roots

Use only the smaller mathematical root

(d)1 mark

Give the value of \(z\) that satisfies the model

\(z\) (mm)

Format: Exact value