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Phoenix [80]
3 years ago
5

Solve x²+5x+6=0 by completing the square​

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

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Which ordered pair is the best estimate for the solution of the system of equations
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The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)

Equate equations (1) and (2)

-\frac{1}{2}x + 4=\frac{1}{2}x -3

Solve for x in the equation above

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Substitute x = 7 into equation (1)

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The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

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2 years ago
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Simplify the following completely, show all work.<br><br>4 + ✓-27​
V125BC [204]

Answer:

4+3i\sqrt{3}

Step-by-step explanation:

the \sqrt{-27} needs to be simplified

first, I broke it down to\sqrt{-1} and \sqrt{27}

\sqrt{-1} simplifies to i ;and  can be broken down to \sqrt{9} and \sqrt{3}

\sqrt{9} can be simplified further to 3

Now all you have to do is put it together

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Answer:

Step-by-step explanation:

d is the answeru got it right

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