Chapter 12.3, Problem 7OE

To determine

To read: the equation $8m^2=m+5$ in standard form and tell what the values of a, b and c are.

Answer to Problem 7OE

The required answer is: the values are a = 8, b = - 1 and c = - 5

Explanation of Solution

Given information:

The given equation: $8m^2=m+5$

Calculation:

The standard form of a quadratic equation is given by:

  $a{x}^2+bx+c=0$

  $\begin{array}{l}8m^2=m+5\\ 8m^2-m=m+5-m\end{array}$

(Subtract m from both sides)

  $\begin{array}{l}8m^2-m=5\\ 8m^2-m-5=5-5\end{array}$

(Subtract 5 from both sides)

  $8m^2-m-5=0$

(Simplify)

The equation is in standard form.

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

  $\begin{array}{l}a=8\\ b=-1\\ c=-5\end{array}$