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LoLGuy133
04.09.2020 •
Mathematics
Question 1: Identify the zeros of the function f(x) = 4x2 − 8x − 1 using the Quadratic Formula. Answers: -1/2 + sqaureroot 5, 1/2 + sqaureroot 5, 1 + sqaureroot 5, -1 + sqaureroot 5 Question 2: Identify the zeros of the function f(x) = 2x2 − 4x + 5 using the Quadratic Formula. Answers: 1 + i sqaureroot 6 / 2, 2 + i sqaureroot 6 / 2, 1 + i sqaureroot 6 / 2, -1 + i sqaureroot 6 / 2
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Ответ:
1. 1/2 +/-√5
2. 1 +/- i √6/2.
Step-by-step explanation:
1. f(x) = 4x^2 - 8x - 1
x = [-(-8) +/-√((-8)^2 - 4*4*-1)] / (2*4)
x =[ 8 +/- √80] / 8
= 1 +/- 4√5/8
= 1 +/- √5/2
= 1/2 +/-√5
2. By a similar method the zeros of the the second equation are:
x = [-(-4) +/- √((-4)^2 - 4*2*5)] / 4
= 4 +/- √(16 - 40) / 4
= 1 +/- √(-24)/4
= 1 +/- i √6 * 2 / 4
= 1 +/- i √6/2.
Ответ:
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