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1 answer:
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Given that:
y < x² + 2
y > x² - 6
Using the graphing technology:
The vertex of first equation will be: (0,2)
As, y is less than the quadratic equation, the outer portion of the parabola will be shaded and the parabola's boundary will be dotted line.
Similarly,
the second equation will vertex, (0,-6), will be a dotted parabola and the inner part of the parabola will be shaded.
Solution to the set of equations will be the common shaded region as shown in the graph attached. There is no common point which intersects both the equations.
Answer:
Step-by-step explanation:
Hello,
step 1 - we divide all terms by 2
step 2 - we complete the square
we can notice that
so
step 3 - we move the constant term to the right of the equation
step 4 - we take the square root on both sides of the equation
or
step 5 - we subtract 2 from both sides
or
so the solutions are 0.12 and -4.12
hope this helps