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Vesnalui [34]
3 years ago
8

Select the correct answer from each drop-down menu. The possible values of x in the equation x^2-3/4 x=-1/4 are blank ± blank .

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

x = 3/8 +/- i(√5)/8.

Step-by-step explanation:

I can't see any list by this is the solution of the equation:

x^2 - 3/4x = -1/4

x^2 - 3/4 x + 1/4 = 0

Multiply by 4 to remove the fractions:

4x^2 - 3x + 1 = 0

x = [-(-3) +/- sqrt(3)^2 - 4*4*1)] / 8

x = 3/8 +/-√ (-5) / 8

x = 3/8 +/-  √5 i / 8

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I need help on this question so if u actually can answer it correctly and show how you got it that would be helpful thx
Sedaia [141]

\rm \looparrowright -  \frac{1}{4} (8 - 4 + 20x)

Subtract the numbers

\rm \looparrowright -  \frac{1}{4} (4+ 20x)

Factor out 4 from the expression

\rm \looparrowright   - \frac{1}{ \cancel4}  \times  \cancel4(1 + 5x)

\rm \looparrowright   - (1 + 5x)

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to -

\rm \looparrowright   - 1  -  5x

  • <em>Thus, Options A and F are correct!!~</em>
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