what is k.from the sum
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Answer:
100 kilometers
The shortest distance between Earth and space is about 62 miles (100 kilometers) straight up, which by general accord is where the planet's boundary ends and suborbital space begins.
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The given quadratic equation:
kx^2-4x+4k=0kx2−4x+4k=0
Here, a = k, b = - 4 and c = 4k
To find, the value of k = ?
The sum of roots = \dfrac{-b}{a}a−b and
The product of roots = \dfrac{c}{a}ac
According to question,
The sum of roots = The product of roots
∴ \dfrac{-b}{a}a−b = \dfrac{c}{a}ac
⇒ \dfrac{4}{k}=4k4=4
⇒ 4k = 4
⇒ k = 1
Thus, the value of k is equal to 1.
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