Chapter ISG, Problem 9.7.16P

a.

To determine

To solve system graphically.

Answer to Problem 9.7.16P

No solution

Explanation of Solution

Given information:

  $y=-x^2-5x-6$

  $y=3x-1$

Solution in example 3 is No solution

Calculation:

  $y=-x^2-5x-6$

  $a=-1$

  $b=-5$

  $c=-6$

Central value

  $x=\frac{-b}{2a}$

Put value of a and b

  $x=\frac{-(-5)}{2(-1)}=-2.5$

Table

  

Graph:

  

Clear from graph

They not cross

Points of intersection not possible

Hence, no solution

b.

To determine

To solve system graphically.

Answer to Problem 9.7.16P

No solution

Explanation of Solution

Given information:

  $x^2+y^2=4$

  $y=x+3$

Solution in example 6 is No solution

Calculation:

  $x^2+y^2=4$

Rewrite

  $x^2+y^2=2^2$

This is equation of circle whose center is at $(0,0)$

Central value

  $x=0$

Table

  

Graph:

  

Clear from graph

They not cross at any point

Points of intersection not possible

Hence, no solution