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7nadin3 [17]
2 years ago
10

What are the solutions to the quadratic equation below?

Mathematics
1 answer:
Luden [163]2 years ago
5 0

Using factorization method;

x²+13x+40=0

x²+13+40

Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).

The two numbers are +5 and +8

The equation will therefore be = x²+5x+8x+40

You'll then factorize (I.e use a common factor of both values to bracket them)

x(x+5)+8(x+5)

(x+8)(x+5)

x is therefore (x+8=0) or (x+5=0)

x=(x=0-8) or (x=0-5)

x= -8 or x= -5

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answer these BOTH. PLEASE! if u answer both correctly i'll give u brainliest and extra points please please please.
Reil [10]

<u>Answer:</u>

9. x = 12

10. x = 31

<u>Step-by-step explanation:</u>

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

3x - 20 = 16

3x = 36

x = 12

Therefore x is equal to 12

<u>Check:</u>

4(12) + 16

= 64

7(12) - 20

= 64

10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

x = 31

Therefore, x = 31.

<u>Check:</u>

31 + 2(31) + 25 + 2(31) = 180

31 + 62 + 25 + 62 = 180

180 = 180

<em>I hope this helps!!</em>

<em>- Kay :)</em>

<em />

8 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP !!!!
klemol [59]
At h=1 y=-2 so -2 hope it helps!
3 0
3 years ago
Anybody!? I need help
mamaluj [8]

Answer: D

Step-by-step explanation:

6 0
3 years ago
Help me out here first then I will sing u a song.
babunello [35]
The answer will be 19
4 0
3 years ago
5. Find the radius of a cylinder with a volume of 150 in^3<br> and a height of 10 in.
kvasek [131]

Answer:

Hi there!

The correct answer is: 2.185 in

Step-by-step explanation:

The formula for the volume of cylinder is: V= Base * Height

where base is π * radius²

So given that information, we can first divide 10 on sides to get πr²= 15

then divide pi on both sides to get 4.7746 then square root both sides to get

r=2.185

7 0
3 years ago
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