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Bumek [7]
3 years ago
8

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

x = -2+√3i and -2-√3i

Step-by-step explanation:

The formula for the general formula is expressed as;

x = -b±√b²-4ac/2a

Given the expression

x²+4x+7 = 0

a = 1, b = 4 and c = 7

Substitute

x = -4±√4²-4(1)(7)/2(1)

x  = -4±√16-28/2

x = -4±√-12/2

x = -4±√4*-3/2

x = -4±2√-3/2

x = -4±2√3i/2

x = -4+2√3i/2 and  -4-2√3/2

x = -2+√3i and -2-√3i

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Answer:

in order to convert Celsius to Fahrenheit, you will need to use this formula: F = 9/5C + 32. Therefore, you will need to solve for C or substitute values and solve in that manner. To find Fahrenheit temperature for -20 degrees Celsius, you can just plug it into the formula. Therefore, F = 9/5 (-20) + 32 and F = 28.4. If you were given 59 degrees Fahrenheit you would get: 59 = 9/5C + 32 and this would give you 27 (5/9) = C, after you have plugged the values into the above formula. When you simplify you, you get C = 15.

5 0
2 years ago
What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x
avanturin [10]

Answer:

g(x)=\sqrt{x}-6, x>=0

Step-by-step explanation:

f(x)=(x+6)^2

To find the inverse function , replace f(x) by y

y=(x+6)^2

Replace x with y and y with x

x=(y+6)^2

Solve the equation for y

take square root on both sides

+\sqrt{x} =y+6

Now subtract 6 from both sides

+\sqrt{x}-6=y

replace y with g(x)

g(x)=\sqrt{x}-6

8 0
3 years ago
Solve for the x using elimination <br> 3x-2y=13x−2y=1 <br> 2x+2y=42x+2y=4
Nikitich [7]

3x - 2y = 1

2x + 2y = 4

Add the second equation to the first

5x     = 5

2x + 2y = 4

Divide the first equation by 5

x        = 1

2x + 2y = 4

Subtract the first equation from the second

x        = 1

x + 2y = 3

Subtract the first equation from the second again

x        = 1

   2y = 2

Divide the second equation by 2

x        = 1

      y = 1

<h3>So, the solution is  x = 1  and  y = 1  {or: (1, 1)} </h3>
7 0
3 years ago
Please help me i make my questions worth more, and give brainliest....
REY [17]

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2

X^2-2(X)(5)+5^2

Ans C

X^2-10X+25

7 0
3 years ago
During second period, Janet completed a grammar worksheet.
Dmitry_Shevchenko [17]

Answer: 50%

Step-by-step explanation:

4 0
3 years ago
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