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3 years ago

F(x)=25x^2-10x+1

Mathematics

1 answer:

IgorC [24]3 years ago

5 0

Answer:

100f(x); one x-intercept

Step-by-step explanation:

25x² - 10x + 1 → [5x - 1]²; set this Binomial equal to 0, and you get your x-intercept of [⅕, 0], which is also your vertex.

Now, for your discriminant, you have to use all the values of c, b, and a to find it [b² - 4ac]:

0 > b² - 4ac → No real solutions
0 < b² - 4ac → Two solutions
0 = b² - 4ac → One solution

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If the distance between the points A(p,0) and B(p,0) is 10, find the possible values of p

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Answer:

p = ± 5 $\sqrt{2}$

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (p, 0) and (x₂, y₂ ) = (0, p)

d = $\sqrt{(0-p)^2+(p-0)^2}$

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= $\sqrt{p^2+p^2}$

= $\sqrt{2p^2}$

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( $\sqrt{2p^2}$ )² = 10², that is

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p² = 50 ( take the square root of both sides )

p = ± $\sqrt{50}$ = ± $\sqrt{25(2)}$ = ± 5 $\sqrt{2}$

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