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Darina [25.2K]
3 years ago
10

Solve for x in the following: 8x^2 + 6x = -5

Mathematics
1 answer:
artcher [175]3 years ago
8 0

Answer:

No solution or

(-3±2i\sqrt{31})/8

Step-by-step explanation:

To get the solution, move everything to the left side of the equation:

8x²+6x+5 = 0

If you try to factor the equation or graph it, you will see that it will never equal 0.

If you need an imaginary solution you can plug it into the quadratic equation:

-6±\sqrt{36-160} over 16

Simplify and you get

-6±i\sqrt{124} over 16

-6±4i\sqrt{31} over 16

Simplify the fraction and you can get

(-3±2i\sqrt{31})/8

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I just need an explanation on why I was wrong and why the correct answer is correct
Alja [10]

Answer:

B 1

Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

2| -2 1 5 0 4 1

↓ -4 -6 -2 -4 0

_________________

-2 -3 -1 -2 0 1→ -2x⁴ - 3x³ - x² -2x + [x - 2]⁻¹

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [-2x⁵ + x⁴ + 5x³ + 4x + 1]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to <em>subtract</em> or <em>add</em>, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that -2 in your quotient can be a -2x⁴, and the -3 [x³] follows right behind it, then 1 [-x²], -2[x], and finally, [1\x - 2] (remainder is 1, so set it over your denominator, which is the divisor), giving you the other factor of -2x⁴ - 3x³ - x² -2x + [x - 2]⁻¹.

I am joyous to assist you anytime.

**(x - 2)^{-1} =  \frac{1}{x - 2}

5 0
3 years ago
What percentage of the mile times range from 7.25 to 9.375?
Step2247 [10]

1. We assume, that the number 9.375 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 9.375 is 100%, so we can write it down as 9.375=100%.

4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.

5. Now we have two simple equations:

1) 9.375=100%

2) x=7.25%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

9.375/x=100%/7.25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 7.25% of 9.375

9.375/x=100/7.25

(9.375/x)*x=(100/7.25)*x       - we multiply both sides of the equation by x

9.375=13.793103448276*x       - we divide both sides of the equation by (13.793103448276) to get x

9.375/13.793103448276=x

0.6796875=x

x=0.6796875

now we have:

7.25% of 9.375=0.6796875

8 0
3 years ago
Please help i dont understand
Rama09 [41]

Answer:

17.5

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 =c^2

a= 9 , b= 15, c= x

9^2 + 15^2 = c^2

\sqrt{306}= c^2

c= 17.493 or 17.5 rounded to the nearest tenth

4 0
3 years ago
If I fly in a helicopter for 20 minutes at a speed of 240 km per hour, how fast did I go
zubka84 [21]
If you mean how far did you go you went 80 km
8 0
3 years ago
Eric ordered 6 tacos and 1 large pop. The large pop costs $2.00 and the total cost of his order was
pshichka [43]

Answer: 6x + $2= $21.50

Step-by-step explanation:

To make an equation first we are going to give the cost of each taco the variable x since we don't know what it is. Then we will combine 6 multiplied by x to get 6x and add it to $2 to get $21.50 so the equation will be 6x + $2= $21.50. First we subtract 2 from both sides of the equation which makes the equation become 6x= $19.50. Then we divide both sides of the equation by 6 and get x=$3.25. This means that each taco cost $3.25.

5 0
3 years ago
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