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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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First, divide both sides by 12
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3 0
3 years ago
Read 2 more answers
A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perim
HACTEHA [7]

Answer:

(24x + 24) units

Step-by-step explanation:

A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:

Perimeter = 2(length + width)

Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:

Perimeter = 2(2x + 11 + 10x + 1)

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7 0
2 years ago
The ratio of boys to girls in a school is 5:4. if there are 500 girls , how many boys are there in the school?
lana [24]

Answer:

The number of boys in the school is;

625

Explanation:

Given that the ratio of boys to girls in a school is 5:4;

5\colon4

And there are 500 girls in the school.

The number of boys in the school will be;

\begin{gathered} \frac{B}{G}=\frac{5}{4} \\ G=500 \\ B=\frac{5\times G}{4}=\frac{5\times500}{4} \\ B=625 \end{gathered}

Therefore, the number of boys in the school is;

625

3 0
1 year ago
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