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Rudiy27
3 years ago
11

2x-5=3x^2 find the root of X

Mathematics
1 answer:
Zina [86]3 years ago
4 0

For this case we must solve the following quadratic equation:

3x ^ 2-2x + 5 = 0

Where:

a = 3\\b = -2\\c = 5

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting the values we have:

x = \frac {- (- 2) \pm \sqrt {(- 2) ^ 2-4 (3) (5)}} {2 (3)}\\x = \frac {- (- 2) \pm \sqrt {(- 2) ^ 2-4 (3) (5)}} {2 (3)}\\x = \frac {2 \pm \sqrt {4-60}} {6}\\x = \frac {2 \pm \sqrt {-56}} {6}

By definition we have to:

i ^ 2 = -1\\x = \frac {2 \pm \sqrt {56i ^ 2}} {6}\\x = \frac {2 \pm i \sqrt {56}} {6}\\x = \frac {2 \pm i \sqrt {2 ^ 2 * 14}} {6}\\x = \frac {2 \pm 2i \sqrt {14}} {6}\\x = \frac {1 \pm i \sqrt {14}} {3}

We have two complex roots:

x_ {1} = \frac {1+ i \sqrt {14}} {3}\\x_ {2} = \frac {1- i \sqrt {14}} {3}

Answer:

x_ {1} = \frac {1+ i \sqrt {14}} {3}\\x_ {2} = \frac {1- i \sqrt {14}} {3}

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Pleaseeeeeeeeeeeeeeeeeee help
NikAS [45]

Answer:

2x-7

-14

3x

x = 1

Step-by-step explanation:

4 0
3 years ago
You and your sister went to the store. Your mom gave you $35 to buy a few things. The store charges $4 an hour for parking plus
Sav [38]

Answer:6.5

Step-by-step explanation:35-15=20, 20-12=8, 8-1.50=6.5

8 0
3 years ago
(I WILL RATE BRAINIEST)
Umnica [9.8K]

Answer:

(a)

Shortest Side of the trapezoid =6 yds

Longest Side =8 yds

(b)42 Square Yards

Step-by-step explanation:

<u>Part A</u>

In the Trapezoid, Width =6 yd

Since the shortest side of the playground and its width have the same dimension, then:

  • Shortest Side of the trapezoid =6 yd
  • Longest Side =6+1+1=8 yd

<u>Part B</u>

Area of the Playground

In the trapezoid

a=6 yd, b=8 yd, h=Width=6 yd

Area of a trapezoid=\frac{1}{2}(a+b)h<u />

<u />Therefore: Area=\frac{1}{2}(6+8)*6\\=14*3\\=42$ Square Yards<u />

7 0
3 years ago
Look at this system of equations.<br> 2x +5 =9.5<br> 3x + 5y =10.5<br> What is the value of x+y
stiv31 [10]

Answer:

x = 2.25 y = 0.75

Step-by-step explanation:

2x = 9.5- 5

2x = 4.5

x = 4.5 ÷ 2

x = 2.25

know we now what is x so in the second one we evaluate x

3(2.25) + 5y = 10.5

6.75 + 5y = 10.5

5y = 10.5- 6.75

5y = 3.75

y = 3.75 ÷ 5

y = 0.75

that's it !

if you want to check your answer you can evaluate x and y so it will be like

2×2.25 + 5

= 4.5 + 5 = 9.5

and

3× 2.25 +5×0.75

= 6.75 + 3.75 = 10.5

6 0
3 years ago
Is b - 12 = - 5; 17 solution
Pani-rosa [81]
No the answer to the solution would be 7
7 0
4 years ago
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