Chapter 9.7, Problem 31HP

To determine

To explain what error T makes.

Answer to Problem 31HP

Wrong setting the two equations and found no points of intersection.

Explanation of Solution

Given information:

Equations are

  $\begin{array}{l}y=0\\ y-x^2=0\end{array}$

Calculation:

  $y=0\mathrm{......}(1)$

  $y-x^2=0\mathrm{......}(2)$

Rewrite equation (2)

  $y=x^2\mathrm{.....}(3)$

Substituting $y=x^2$ equation (1)

Then,

  $x^2=0$

On solving,

  $x=0$

Point is $(0,0)$

This is a point when system of line and quadratic is intersect.

  $a=1$is coefficient of x square

  $b=0$ is coefficient of x

  $b=0$constant

This is the equation of one solution

T wrong setting the two equation and found no points of intersection.

Hence, T solved equations for no solution.