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3 years ago

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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3 years ago

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Area of geometric figures mentioned calculated.

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3 years ago

Simplify: (4b + 3) (2b - 5).

igomit [66]

(4b+3) (2b−5)

(4b+3) (2b+−5)

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4 years ago

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hodyreva [135]

Data:
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</span>

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3 years ago

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

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