Δ = b² - 4ac
Δ = (6)² - 4(2)(12)
Δ = 36 - 4(24)
Δ = 36 - 96
Δ = -60
y = 2x² + 6x + 12
0 = 2x² + 6x + 12
0 = 2(x²) + 2(3x) + 2(6)
0 = 2(x² + 3x + 6)
2 2
0 = x² + 3x + 6
x = -(3) ± √((3)² - 4(1)(6))
2(1)
x = -3 ± √(9 - 4(6))
2
x = -3 ± √(9 - 24)
2
x = -3 ± √(-15)
2
x = -3 ± i√(15)
2
x = -1.5 ± 0.5i√(15)
x = -1.5 + 0.5i√(15) or x = -1.5 - 0.5i√(15)
The discriminant is -60 and the number of solutions is 2.
Answer:
Step-by-step explanation: 5/8= 21/32
I think 3.323 units would be the correct answer. Are you asking what the length of a single side is?
Answer:
x = 4, y = 1 is the solution of the given system of equation.
Step-by-step explanation:
Here, the given set of equations is:
3 x + 2 y = 14
x + y = 5 ⇒ y = 5- x
Solve the given system by SUBSTITUTION METHOD:
Substitute the value of y = 5- x in 3 x + 2 y = 14 , we get
3 x + 2 y = 14 ⇒ 3x + 2 (5- x) = 14
or 3 x - 2x + 10 = 14
⇒ x = 10+ 14 = 14 - 10
or, x = 4
Now, y = 5 - x = 5- 4 = 1
Hence, x = 4, y = 1 is the solution of the given system of equation.
When x equals 40, h equals 1700
So the original equation would look something like h(x) = ____
h(40) = 1700 means that they have plugged in 40 for x