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
The route will take four hours and fifteen minutes. If you start at 9:50 and count four hours, you'll get to 1:50, add ten to get to 2:00, then add 5 minutes to get to 2:05. Four hours plus ten minutes plus five minutes, 4:15.
Answer:
arbys
Step-by-step explanation:
we have the meats
5 1/2 miles
2+2= 4
3/4+3/4= 1 2/4 simplify = 1 1/2
1 1/2+ 4=5 1/2
Answer:
Pr(blue) = 2/7
Step-by-step explanation:
Blue = 6
White = 7
Gray = 8
Total socks = 6+7+8 =21
Probability of picking blue = number of blue ➗ total number of socks
Pr(blue) = 6/21
Divide both by 3 to make the fraction to the lowest term.
Pr(blue) = 2/7
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