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3 years ago

7

PLEASE HELP MEEEEE!!!!!!!!!!! Solve this quadratic equation. x 2 + 5x + 3 = 0

1 answer:

andreev551 [17]3 years ago

3 0

Answer:

$x1=\frac{-5+\sqrt{13}}{2}\\ \\x2=\frac{-5-\sqrt{13}}{2}$

Step-by-step explanation:

x² + 5x + 3 = 0

x = (- 5 +/- √5² - 4x1x3)/2x1

= (-5+/-√13)/2

x₁ = (- 5 + √13)/2

x² = (- 5 - √13)/2

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An easy question all wrong or unhelpful or no-work answers will be reported.

boyakko [2]

Substitution:
2x + (6(1/2x - 6)) = 19
2x + 3x - 36 = 19
5x - 36 = 19
+ 36
5x = 55
÷ 5
x = 11

y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5

Elimination:
y = 1/2x - 6
- y
0 = 1/2x - 6 - y
+ 6
1/2x - y = 6

3x - 6y = 36
2x + 6y = 19
(add)
5x = 55
÷ 5
x = 11

y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5

I hope this helps! Let me know if you need me to explain why I did some things :)

8 0

3 years ago

1.) The following figures are congruent. What side corresponds to side CD?

cupoosta [38]

Answer:

C Side ZX

Because ZX is a reflection of CD

7 0

3 years ago

An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

<u>For bulb </u><u>box</u><u> </u><u>the </u><u>d</u><u>imensions</u><u> </u><u>are:</u>

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

<u>For </u><u>Carton </u><u>the dimensions are</u><u>:</u>

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

3 0

2 years ago

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a black card given that it is an

Pavlova-9 [17]

probability of getting black card an ace =2/52=1/26

5 0

3 years ago

Two numbers have a sum of 18, and 4 times the first number minus the second number is equal to 17. What is the smallest number?

sammy [17]

Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

4x+x = 17+18

5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

(4×7)-11=17

the smallest number is 7

4 0

3 years ago