k = 13 is the value of k in quartic equation.
What does the term "quartic equation" mean?
An equation of the fourth degree, often known as a quartic equation, is one that reduces a quartic polynomial to zero. in which a 0. A quartic function's derivative is a cubic function.
Let α = 7x
β = 6x
α + β = 7x + 6x = k/3 ............1
13x = k/3
αβ = 7x × 6x = 14/3
42x² = 14/3
x² = 14/3 × 42
x² = 1/9
x = 1/3
now putting value of x in 1
7/3 + 6/3 = k/3
1/3( 7 + 6 )= k/3
k = 13
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Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
Answer: 
Step-by-step explanation:
Given
Length of board is 
It is divided into 4 equal pieces i.e. length of each piece is

If
of an inch is removed from one of the pieces then,
