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4 years ago

X^2+9x+20=0 What are the steps to solve by factoring?

2 answers:

6 0

First simplify the equation and next multiply the 20 with the x^2 and find a number that adds together to give you the middle

Butoxors [25]4 years ago

6 0

Answer:

x = -5 or x = -4

Step-by-step explanation:

Given equation is :

x²+9x+20 = 0

We have to solve above equation by factoring.

Step 1. Split the middle term of given equation so that the sum of two term should be 9 and their product should be 20.

Terms are 4 and 5.

Their product is 4.5 = 20 and their sum is 4+5 = 9

x²+5x+4x+20 = 0

Step 2. Making two groups and taking common ,we get

x(x+5)+4(x+5) = 0

Step 3. Taking (x+5) as common , we get

(x+5)(x+4) =0

Step 4. Applying Zero-Product Property to above equation ,we get

x+5 = 0 and x+4 = 0

Step 5. Separating x,we get

x = -5 or x = -4 Which is the answer.

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[asy] size(7cm); draw((1.8,0)--(3.2,0),Arrows); draw((2,0.03)--(2,-0.03)); draw((3,0.03)--(3,-0.03)); for(real i=15/7; i<2.9;

shutvik [7]

Answer:

2 2/7

Step-by-step explanation:

3 0

2 years ago

Someone please help me

Lerok [7]

Answer:

y=3x+5

Step-by-step explanation:

I think that this is what they mean...

y=mx+b

y=3x+b

y=3x+5

plug in #s

5=15+5

5=20 no

6 0

4 years ago

N - 1/8 = 3/8 I am no smort and i forgot to study for a test =|

sdas [7]

Answer:

$\boxed{\sf{n=\dfrac{1}{2}=0.5 }}$

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

Therefore, the final answer is n=1/2=0.5.

I hope this helps you! Let me know if my answer is wrong or not.

3 0

2 years ago

Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o

Keith_Richards [23]

Answer:

32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

For t=20, this is ...

ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

(150 -C)/(60 -C) = 4.225

1 +90/(60 -C) = 4.225

C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

7 0

3 years ago

WHAT DOES THIS MEAN I DONT UNDERSTAND

Art [367]

Answer:

the goal is to try and get x alone. For the 1st problem, x=3.

Step-by-step explanation:

3x + 1 = 10 Subtract 1 both sides to cancel out the 1 on the left side. 10-1 = 9

3x = 9 To get x alone here, Divide 3 on both sides. 9/3 = 3

x = 3 Now x is alone, which means x = 3.

This is right because if you plug x with 3, the sum = 10.

(3*3) + 1 =10

9 + 1 = 10

So, that's how you know 3 is the right answer.

3 0

3 years ago