Find the solution set of the quadratic equation over the set of complex numbers.

2x2 – 6x + 7 = 0

A)

x =
3
2
i or 2i

B)

x =
1
7
(3 − i
5
) or
1
7
(3 + i
5
)

C)

x =
1
2
(3 − i
5
) or
1
2
(3 + i
5
)
Eliminate

D)

x =
1
7
(3 − i
41
) or
1
7
(3 + i
41
)

Question

JuggaloPrideICP JuggaloPrideICP

23-04-2018
Mathematics

contestada

Find the solution set of the quadratic equation over the set of complex numbers.

2x2 – 6x + 7 = 0

A)

x =
3
2
i or 2i

B)

x =
1
7
(3 − i
5
) or
1
7
(3 + i
5
)

C)

x =
1
2
(3 − i
5
) or
1
2
(3 + i
5
)
Eliminate

D)

x =
1
7
(3 − i
41
) or
1
7
(3 + i
41
)

Respuesta :

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carlosego carlosego · Answer 1 · 2018-05-02T14:11:51+02:00

We have the following equation:
2x2 - 6x + 7 = 0
Using the resolver we have:
x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
Substituting values we have:
x = (- (- 6) +/- root ((- 6) ^ 2 - 4 * 2 * 7)) / (2 * 2)
Rewriting we have:
x = (6 +/- root (36 - 56)) / (4)
x = (6 +/- root (-20)) / (4)
x = (6 +/- root (-4 * 5)) / (4)
x = (6 +/- 2raiz (-5)) / (4)
x = (6 +/- 2raiz (-1 * 5)) / (4)
x = (6 +/- 2raiz (5) * i) / (4)
x = (3 +/- root (5) * i) / (2)
The solutions are:
x1 = (3 + root (5) * i) / (2)
x2 = (3 - root (5) * i) / (2)
Answer:
x1 = (3 + root (5) * i) / (2)
x2 = (3 - root (5) * i) / (2)

Find the solution set of the quadratic equation over the set of complex numbers. 2x2 – 6x + 7 = 0 A) x = 3 2 i or 2i B) x = 1 7 (3 − i 5 ) or 1 7 (3 + i 5 ) C) x = 1 2 (3 − i 5 ) or 1 2 (3 + i 5 ) Eliminate D) x = 1 7 (3 − i 41 ) or 1 7 (3 + i 41 )

Respuesta :

Otras preguntas

Find the solution set of the quadratic equation over the set of complex numbers.

2x2 – 6x + 7 = 0

A)

x =
3
2
i or 2i

B)

x =
1
7
(3 − i
5
) or
1
7
(3 + i
5
)

C)

x =
1
2
(3 − i
5
) or
1
2
(3 + i
5
)
Eliminate

D)

x =
1
7
(3 − i
41
) or
1
7
(3 + i
41
)