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mars1129 [50]
3 years ago
6

-X² + 5x - 6 = 2 Using the quadratic formula

Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\

↝ Form into ax^2+bx+c = 0 where a > 0 (Optional)

x^2-5x+8=0 ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

↝ Solution with Real Numbers  System ↝  There are no real solutions.

↝ Solution with Complex Number System ↝

x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}

Therefore, the answer for Complex Number System is (5±√7i)/2

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Can someone help me please
kvasek [131]
Domain:
( -  \infty  \: comma \:  \infty )
Range:
( -  \infty  \: comma \:  - 1)
Asymptote @ y = -1
Red line in picture is the asymptote.

5 0
3 years ago
Factor the expression using the greatest common factor<br><br> 2x + 10 =
Sergeu [11.5K]

Answer:

2(x+5)

Step-by-step explanation:

2x+10

1.Factor our the 2 from the equation

2.Your answer after will be 2(x+5)

4 0
3 years ago
Read 2 more answers
A triangular course for a canoe race is marked with buoys. the first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg
igomit [66]

Answer:

1 1/5 mi

Step-by-step explanation:

We need to add the three legs together

3/10 + 1/2 + 2/5

The common denominator is 10

3/10  =3/10

1/2 *5/5 = 5/10

2/5 *2/2 =4/10

3/10 + 5/10+4/10 = 12/10

10/10 = 10/10+2/10 = 1+2/10  = 1 1/5 mi

3 0
4 years ago
Read 2 more answers
What is the result when the following code is run? double x = 1; double y = 1; int i = 0; do { y = x / 2; x = x + y; i = i + 1;
Mama L [17]

Answer:

The answer is: 3

Step-by-step explanation:

1. At the begining of the program we start by declairing the variables:

 double x=1, double y=1 and int i=0.

2. The structure do...while is used to defined the loop. x<2.5 is the finalization condition of the loop. i is the counter of the loop.

y=x/2 is the first calculation

x=x+y is the second one. Here is where the values of the variable x changes.

a) for the first iteration, the values of y and x are shown below:

\\\\x=1\\y=1\\y=1/2=0.5\\x=1+0.5=1.5\\i=1

The variable x is minor to 2.5 so the loop will continue computing.

b)   the second iteration, the values of y and x are shown below::

 y=0.5\\x=1.5\\y=\frac{1.5}{2}=0.75\\ x=1.5+0.75=2.25\\i=2

The variable x is still minor to 2.5 so the loop will continue computing.

c) third iteration:

y=0.75\\x=2.25\\y=\frac{2.25}{2} =1.1125\\x=2.25+1.125=3.375\\i=3

The condition x<2.5 is not true so the loop ends.

3. System.out.print(i + " "); displays the value of the variable i wich value is 3.

Therefore the number 3 is display.

6 0
3 years ago
What is the solution to the inequality below? -1x + 5 &lt; 20
Reil [10]

Answer:

x < -15

Step-by-step explanation:

-1x + 5 < 20

- 5 - 5

-1x < 15

/-1 /-1

x < -15

4 0
3 years ago
Read 2 more answers
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