All categories

2 years ago

(30 POINTS AND BRAINLIEST) Show all work to solve 3x^2 + 5x − 2 = 0.

Mathematics

1 answer:

Dahasolnce [82]2 years ago

5 0

Answer:

The answer to your question is: (x + 2)(3x - 1) = 0

x1 = -2

x2 = 1/3

Step-by-step explanation:

3x² + 5x − 2 = 0

Multiply 3 x -2 = -6

Find two numbers that added = +5 and multiply -6

These numbers are +6 and -1

Then:

3x² + 6x -1x − 2 = 0

Factorize 3x (x + 2) - 1(x + 2) = 0

Factorize again (x + 2)(3x - 1) = 0

Finally

x + 2 = 0 3x - 1 = 0

x = -2 x = 1/3

You might be interested in

PLS HELP WITH THIS QUESTION GIVING BRAINLIST

Aleks04 [339]

Answer: 1: 5(3x+4)

2: 6(x2+4x−3)

3: 5x(4x2−3x+2)

4: 4n2(4n2-3)

Step-by-step explanation:

8 0

2 years ago

What is the length of VS?

hram777 [196]

Answer:

use pythag

half 5 = 2.5

half 12 = 6

6^2 + 2.5^2=42.25

42.25 sprout =13/2= 6.5

answer = 6.5

4 0

2 years ago

What is the IQR for the data set? {31, 30, 40, 35, 48, 44, 25} Drag and drop the correct answer into the box.

Kitty [74]

Answer:

Step-by-step explanation:

IQR is the higher qurtile subtracted by the lower qurtile so higher is 40 and lower is 20 so 14

Hope this helps have a great day:)

4 0

1 year ago

11 POINTS PLZ HELP EMERGENCY

Bad White [126]

Part A

The given expression is:

$(-5(1+2i)+3i(3-4i)$

We expand to get:

$-5-10i+9i-12i^2$

Note that $i^2=-1$

$12-5-10i+9i$

$-5-10i+9i+12$

$7-i$

Part Bi)

The given expression is;

$\sqrt{-50}$

We simplify to get:

$\sqrt{25\times 2\times -1}$

$\sqrt{25\times} \sqr{2}\times \sqrt{-1}$

Note that:

$\sqrt{-1}=i$

$5\sqr{2}i$

This is now of the form $a+bi$ , where $a=0,b=5\sqr{2}$ .

This explains why it is a complex number;

Part bii)

The given expression is :

$\frac{\sqrt{-50} }{\sqrt{5}}$

We simplify to get

$\sqrt{\frac{-50 }{5}}$

$\sqrt{-25}$

$\sqrt{-25}=\sqrt{25}\times \sqrt{-1}$

$\sqrt{-25}=5\times i$

$\sqrt{-25}=5i$

Part C

We want to simplify:

$i^{22}$

We rewrite in terms of $i^2$

$i^{22}=(i^2)^{11}$

$i^{22}=(-1)^{11}$

$i^{22}=-11$

5 0

3 years ago

True or false?<br> If 3a > 9, then a > 27

olchik [2.2K]

False because 3x27 would equal 81 a should equal less than 27

8 0

2 years ago