Answer:
A) -2 - i√3 , -2 + i√3
Step-by-step explanation:
Solve using quadratic formula
x² + 4x + 7 = 0
The Almighty Formula
= -b ± √b² - 4ac/2a
Where ax + bx² + c = 0
From the above question
a = 1, b = 4, c= 7
Hence,
-4 ± √4² - 4 × 1 × 7/2 × 1
-4 ± √16 - 28/2
=( -4 ± √-12)/2
Since
b² - 4ac < 0
We have two complex roots
Simplifying
( -4 ± √-12)/2
= -4/2 ± √-12/2
= -2 ± 2√3i/2
= -2 ± √3i
Therefore,
-2 - √3i , -2 + √3i
or
-2 - i√3 , -2 + i√3
Option A , is the correct answer
The vertex of the parabola is <span><span>(<span>2,1</span>)</span><span>(<span>2,1</span>)</span></span>
.
So, the axis of symmetry is the line <span><span>x=2</span><span>x=2</span></span>
.
Answer:
1-8 = -7
Step-by-step explanation:
1 - 8
1 0 -1 -2 -3 -4 -5 -6 -7
Answer:
The function is negative for all real values of x where
x < –3 and where x > 1.
Step-by-step explanation:
This quadratic function is downward parabola.
It's root are -3 and 1.
Quadratic is positive between -3 and 1.
And negative on R-(-3,1).
3 + 4x = 33
-3 on both sides
4x = 30
/4 on both sides
x = 7.5
Answer:
Rod is 7 1/2 years old