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frozen [14]
3 years ago
7

What is the value of b^2 - 4ac for the following equation? 2x 2 - 2x - 1 = 0

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0
The answer to this is x=3/2
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Someone help me out please
uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\   (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4.

2 step (A): simplify to obtain the final radical term on one side of the equation.

-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2.

3 step (F): raise both sides of the equation to the power of 2 again.

(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2.

4 step (E): simplify to get a quadratic equation.

4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0.

5 step (D): use the quadratic formula to find the values of x.

D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}.

6 step (C): apply the zero product rule.

x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}.

Additional 7 step: check these solutions, substituting into the initial equation.

3 0
3 years ago
Where is the point ( 0,-4) located on the coordinate plane
Natali [406]

Answer:

A

Step-by-step explanation:

If you plot the point on a cartesian plane you see it is on the y axis

3 0
3 years ago
Read 2 more answers
Simplify the following expression. 2^2 • 2^3
sesenic [268]

Answer:

4 × 6

Step-by-step explanation:

2^2= 4 or 2 × 2= 4

2^3= 6 or 2 × 2 × 2= 6

So, 4 × 6

8 0
3 years ago
Please help me i dont understand this is 15 points
matrenka [14]

Answer:

OPTION 2 IS THE CORRECT ANSWER

Step-by-step explanation:

ITS SIMPLE  HOPE U GET IT

3 0
3 years ago
A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv
kati45 [8]
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
   = 12.96 - 2.97
   = 9.99 dollars

7 0
3 years ago
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