Select the values that make the inequality h < 1 true.
1 answer:
You might be interested in
Answer:
x = - 3 ± 2
Step-by-step explanation:
Given
2x² + 12x = 6 ( divide through by 2 )
x² + 6x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 3 + 9
(x + 3)² = 12 ( take the square root of both sides )
x + 3 = ± = ± 2
( subtract 3 from both sides )
x = - 3 ± 2 ← exact solutions
For the given quadratic equation we only have a maximum at y = 18.
<h3>How to find the extrema of the given function?</h3>
Here we have:
Notice that this is a quadratic equation of negative leading coefficient.
Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.
The vertex is at:
x = -(-4)/(2*(-2)) = -1
The maximum is:
If you want to learn more about quadratic equations:
#SPJ1