Find the roots of the Equation 16+x^2=0

x = 0   or   x = - 16

Step-by-step explanation:

16+x^2=0

x ( x + 16 ) = 0

using the algebra rule a . b = a = 0 and b = 0

x = 0    or   x = - 16

so the answer is  x = 0 and x = -1 6

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is