Answer:
x = i and x = i
Step-by-step explanation:
Given
+ 6x² + 5 = 0
Using the substitution u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Convert solutions back into terms of x
x² = - 1 ⇒ x = = i
x² = - 5 ⇒ x = = i
Answer:
Step-by-step explanation:
Given
Required
Find the constant of variation
From the question, the variation is as follows
Convert variation to equation
Where k represents the constant of variation
Make k the subject of formula;
Multiply both sides by s * t
Divide both sides by p
Substitute the values of p, r, s and t in the above equation
Divide numerator and denominator by 6
Hence, the constant of variation is;
Given:
The three points are (-7,134), (-3,10) and (5,50).
To find:
The equation of parabola using quadratic regression.
Solution:
The general equation of quadratic regression is
...(i)
The three points are (-7,134), (-3,10) and (5,50).
Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get
Therefore, the equation of parabola is and the missing values in the given equation are 3, -1 and -20.
