Chapter 12.3, Problem 10OE

To determine

To read: the equation $z=10z^2$ in standard form and tell what the values of a, b and c are.

Answer to Problem 10OE

The required answer is: the values are a = 10, b = - 1 and c = 0

Explanation of Solution

Given information:

The given equation: $z=10z^2$

Calculation:

The standard form of a quadratic equation is given by:

  $a{x}^2+bx+c=0$

  $\begin{array}{l}z=10z^2\\ z-z=10z^2-z\end{array}$

(Subtract z from both sides)

  $\begin{array}{l}0=10z^2-z\\ 10z^2-z=0\end{array}$

(Simplify)

The equation is in standard form.

Hence, the values of a, b and c are:

  $\begin{array}{l}a=10\\ b=-1\\ c=0\end{array}$