## Select the correct answer from the drop-down menu. Consider the equations y=√x and y=x² -1 The system of equations is equal at

Question

Consider the equations y=√x and y=x² -1
The system of equations is equal at approximately
A.(1.5,1.2)
B.(-1.5,-1.2)
C.(1.5,-1.2)
D.(-1.5,1.2)

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6 days 2021-09-15T02:22:00+00:00 2 Answers 0

Choice A.

Step.-by-step explanation:

y=√x

y=x² -1

Substituting the values in choice A:

1.2 = √1.5 = 1.2247     Approximately equal.

1.2 = (1.5)^2 – 1 = 1.25   Approximately equal.

Choice B.

-1.2 = √-1.5  which is imaginary so NOT this one.

Choice C

-1.2 = √1.5 = -1.2247

-1.2 = (1.5)^2 – 1 = 1.25  NO.

Choice D

We have the non real value √-1.5 again so NOT this one.

A.(1.5,1.2)

Step-by-step explanation:

We have the following system of equations  the solution of the system will be all points that satisfy both equations at the same time

For (1.5,1.2)  Both equations are satisfied

Note that we can discard options B and D because the domain of the equation does not include the negative numbers.

We can discard option C because the range of the function does not include the negative numbers.

Finally the answer is the option A