If alfa and beta are zeros of x2+6x+8 than find alfa and beta
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An acid is a substance that donates protons (in the Brønsted-Lowry definition) or accepts a pair of valence electrons to form a bond (in the Lewis definition). A base is a substance that can accept protons or donate a pair of valence electrons to form a bond. Bases can be thought of as the chemical opposite of acids.
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Answer: k = 2
The given quadratic polynomial is ; x² – 3x + k
The value of
a = 1
b = -3
c = k
also given
α – ß = 1 …………(1)
Let us calculate the sum of the zeros
α + ß = -b/a
α + ß = -(-3)/1
α + ß = 3 ……………………(2)
Let us calculate the products of the zeros
α × ß = c/a
α × ß = c/a
α × ß = k/-3……………………(3)
We know that
(x + y)² – (x – y)² = 4xy
(α + ß)² – (α – ß)² = 4αß
3² – 1² = 4k
4k = 9 – 1
4k = 9 – 1
4k = 8
k = 8/4
k = 2
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