Answer:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Step-by-step explanation:
y = a (x − x₁) (x − x₂)
Expand:
y = a (x² − x₁x − x₂x + x₁x₂)
y = a (x² − (x₁ + x₂)x + x₁x₂)
Distribute a to the first two terms:
y = a (x² − (x₁ + x₂)x) + ax₁x₂
Complete the square:
y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²
y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)
Therefore:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
X = 12 , just solved it right now :)
Answer: hope this helps
Step-by-step explanation:
Simplifying
1.17 + -0.07a + (-3.92a) = 0
Combine like terms: -0.07a + (-3.92a) = -3.99a
1.17 + -3.99a = 0
Solving
1.17 + -3.99a = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-1.17' to each side of the equation.
1.17 + -1.17 + -3.99a = 0 + -1.17
Combine like terms: 1.17 + -1.17 = 0.00
0.00 + -3.99a = 0 + -1.17
-3.99a = 0 + -1.17
Combine like terms: 0 + -1.17 = -1.17
-3.99a = -1.17
Divide each side by '-3.99'.
a = 0.2932330827
Simplifying
a = 0.2932330827
Answer:
3 and 4
Step-by-step explanation:
Consider squares on either side of 15, that is 9 and 16, so
< 
< 
, that is
3 < < 4
