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Mazyrski [523]
3 years ago
6

What is one thousand more than the biggest two-digit number?

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0
99 is the biggest 2 digit number, so 1000 more than that is 99 + 1000 = 1099
Anna35 [415]3 years ago
5 0
99 is the biggest 2 digit number correct? So 1000 more than that is 99 + 1000 = 1099
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If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.
Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - \frac{b}{a} = - \frac{-8}{1} = 8

product of zeros = αβ = \frac{c}{a} = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0
3 years ago
I can't figure out how to do this problem. Could somebody help me?
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Answer:

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Expert Answer

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