9 x² + 6 x = - 1
Add 1 to both sides
9 x² + 6 x + 1 = - 1 + 1
9 x² + 6 x + 1 = 0
D = b² - 4 a c
In this case:
a = 9 , b = 6 , c = 1
D = b² - 4 a c
D = 6² - 4 ∙ 9 ∙ 1 = 36 - 36 = 0
Add 1 to both sides
9 x² + 6 x + 1 = - 1 + 1
9 x² + 6 x + 1 = 0
D = b² - 4 a c
In this case:
a = 9 , b = 6 , c = 1
D = b² - 4 a c
D = 6² - 4 ∙ 9 ∙ 1 = 36 - 36 = 0
y = 9 x² + 6 x + 1
a = 9 , b = 6 , c = 1
D = b² - 4 a c = 6² - 4 ∙ 9 ∙ 1 = 36 - 36 = 0
So ×= -6/2(9)= -1/3. Which means this problem only has one solution. Is this correct?
This is correct.
It is used to discriminate
Comparing this equation to the standard form, you can see that a = 9, b = 6, and c = -1. The discriminant (denoted as Δ) is calculated using the formula: Δ = b^2 - 4ac.
Substituting the values from the equation, you can now find the discriminant:
Δ = (6)^2 - 4(9)(-1)
Δ = 36 + 36
Δ = 72
Therefore, the discriminant in the equation 9x^2 + 6x = -1 is 72.