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Helga [31]
3 years ago
7

The solution to 3x2 – 12x 24 = 0 is

Mathematics
2 answers:
Marrrta [24]3 years ago
8 0

The answer will be B. 2+2i or 2-2i.

zzz [600]3 years ago
7 0
3x^2 - 12x + 24 = 0 \\ x^2 - 4x + 8 = 0 \\ x= \frac{-b \pm  \sqrt{ b^{2} -4ac} }{2a} 
; where a = 1, b = -4 and c = 8
x= \frac{-(-4) \pm \sqrt{ (-4)^{2} -4 \times 1 \times 8} }{2 \times 1} \\ = \frac{4 \pm \sqrt{ 16 -32} }{2} \\ =\frac{4 \pm \sqrt{ -16} }{2} \\ =\frac{4 \pm 4i }{2} \\ =2+2i \ or \ 2-2i
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How to simplify -3 (4×-5y-5×)
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4 0
2 years ago
Find the solution of the system by graphing
zvonat [6]

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = x + 1

3x + 3y = -9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              3x + 3(x + 1) = -9
  2. Distribute 3:                                   3x + 3x + 3 = -9
  3. Combine like terms:                     6x + 3 = -9
  4. Isolate <em>x</em> term:                               6x = -12
  5. Isolate <em>x</em>:                                        x = -2

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = x + 1
  2. Substitute in <em>x</em>:                                     y = -2 + 1
  3. Add:                                                      y = -1

<u>Step 4: Graph systems</u>

<em>Check the solution set.</em>

6 0
3 years ago
Solve the equation: .2x(.7x-5)+0.2=1.4(x-1.6)
Ilia_Sergeevich [38]

9514 1404 393

Answer:

  x = 8/7

Step-by-step explanation:

  .2(.7x-5)+0.2=1.4(x-1.6) . . . . given

Eliminating parentheses, we have ...

  0.14x -1 +0.2 = 1.4x -2.24

  1.44 = 1.26x . . . . . . . add 2.24-0.14x to both sides

  x = 1.44/1.26 . . . . . . divide by the coefficient of x

  x = 8/7 . . . . . . . . . . .simplify the fraction

__

As a repeating decimal, the value of x is ...

  x=1.\overline{142857}

However, the notation 1.(142857) is usually reserved for the case where the contents of parentheses are being multiplied by the factor in front. You would need to consult your instructions to see how the decimal version of the answer should be entered. (Quite often, rounding is suggested.)

_____

<em>Additional comment</em>

The equation in the text of your question is different from the one in the picture. We have answered for the one in the picture. The text asks for the solution of a quadratic. Those two solutions are approximately 1.085 and 16.057.

6 0
3 years ago
Read 2 more answers
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