thank you for the information
but where is the question??????
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
8 x 100 = 800
5 x 10= 50
1x1= 1
6 x 0.10= 0.6
4 x 0.01 = 0.04
= 851.64
Answer:
The correct answer is 9 m per 
Step-by-step explanation:
Force is defined by mass of an object times it's acceleration.
Let the mass of the object be m kilograms.
When a force of 30 N acts on a certain object the acceleration of the object is 5 m per
∴ 30 = m × 5
⇒ m = 6.
If the force is changed to 54 N, let the acceleration of the object be x m per .
∴ 54 = m × x
⇒ x = 
= 9
Thus when the force is 54 N, the acceleration of the object is 9 m per .
