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Answer:
[1] = 6
x = -3/2 is the root
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a + b)² = a² +2ab +b²
You have ...
- a²=16w² ⇒ a = 4w
- b² = 36 ⇒ b = 6
- 2ab = 2(4w)(6) = 48w
Then the factorization is ...
16w² +48w +36 = (4w +6)²
This will be zero when x = -6/4 = -3/2.
Answer:
point - slope form
y - 1 = 3 (x-0)
Step-by-step explanation:
<u><em>step(i):-</em></u>
Given points are (0,1) and (2,7)
The slope of the line


m =3
<u><em>Step(ii):-</em></u>
point -slope form
y - y₁ = m(x-x₁)
Equation of the straight line passing through the point (0,1) and having slope 'm' = 3
y - 1 = 3 (x-0)
y -1 = 3x
3x - y +1=0
Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0
Use the FOIL method (first, outside, inside, last) to multiply:
2x^2-8x+3x-12
This can be simplified even more into:
2x^2-5x-12.
Hope this helped!