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Genrish500 [490]
3 years ago
9

Solve the quadratic equation by completing the square. 3x2 - 6x - 4 = 0

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

-0.53, 2.53 to the nearest hundredth.

Step-by-step explanation:

3x^2 - 6x - 4 = 0    

3(x^2 - 2) - 4 = 0

3 [ ( x - 1)^2 - 1] = 4

3(x - 1)^2 - 3 = 4

3(x - 1)^2 = 7

(x - 1)^1 = 7/3

x - 1 = +/- √(7/3)

x =   +/- √(7/3) + 1

x = 2.53, -0.53.

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<img src="https://tex.z-dn.net/?f=180%20%5Cdiv%20460%20%3D%20simplified%20%5C%3A%20fraction" id="TexFormula1" title="180 \div 46
Anuta_ua [19.1K]

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

  • so the answer would be 90/230 but we are still no done because these values are divisible by three

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230


5 0
3 years ago
Find the vertex and length of the latus rectum for the parabola. y=-1/2(x-2)^2+8
victus00 [196]
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)²  ↔ (y-k) = a(x-h)²

This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
 a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)

Latus rectum: y-value = 15/2

Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then 
Latus rectum = 5

4 0
3 years ago
Square the binomial (r+s). what is the result?
baherus [9]

Answer:

answer is b)

{(r + s)}^{2}  =  {r}^{2}  + 2rs +  {s}^{2}

6 0
2 years ago
Estimate 0.52 + 1.2 and explain how you made your estimate. Please hurry this is due soon!!
Alex777 [14]

Answer:

1.72

Step-by-step explanation:

0.52 plus 1.2 is equal to 1.72

8 0
2 years ago
Read 2 more answers
What is the positive contermental angle of pi/4
Ber [7]

Answer:

I think its 19/pi that may be wrong

Step-by-step explanation:

sorry if that is wrong

7 0
2 years ago
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