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Katen [24]
2 years ago
11

If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k

Mathematics
1 answer:
BaLLatris [955]2 years ago
6 0

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k

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Step-by-step explanation:

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2 years ago
Simplify. <br> –20 + (–2) • (–6) =
garik1379 [7]
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Answer:

a) y=5ˣ-3

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c) y=5^(x+1/2)

d) y=5^(x+2.5)+1

Step-by-step explanation:

y=b*5^{ax-h}+k

b: vertical stretch or compression and reflection across x-axis

a: horizontal stretch or compression and reflection across y-axis

h: horizontal shift (left and right)

k: vertical shift (up and down)

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Answer:

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<h2>243</h2>

Step-by-step explanation:

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where n is the number of terms

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a = - 121

d = -108 -- 121 = - 108 + 121 = 13

Since we are finding the 29th term

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The 29th term of the sequence is

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The final answer is

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