All categories

2 years ago

Using the quadratic formula, what are the solutions to x2 – 3x = -2?

Mathematics

2 answers:

Kryger [21]2 years ago

6 0

Step-by-step explanation:

<h2>Nubra Valley in Ladakh. Nubra Valley | #1 of 30 Most Beautiful Places in India. ... </h2><h2>Khajjiar in Himachal Pradesh. ... </h2><h2>Valley of Flowers in Uttarakhand. ... </h2><h2>Dal Lake in Srinagar. ... </h2><h2>Munnar in Kerala. ... </h2><h2>Dudhsagar Falls in Goa. ... </h2><h2>Yumthang Valley in Sikkim. ... </h2><h2>Tawang in Arunachal Pradesh.</h2>

Mazyrski [523]2 years ago

6 0

Answer:

$x=1,\: x=2$

Step-by-step explanation:

To be honest, you don't need the quadratic formula as you can just factor the polynomial after setting it equal to 0:

$x^2-3x=-2\\\\x^2-3x+2=0\\\\(x-1)(x-2)=0\\\\x=1,\: x=2$

If you really need to use the quadratic formula, here's the process:

$ax^2+bx+c=0\\\\x^2-3x+2=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(2)}}{2(1)}\\\\x=\frac{3\pm\sqrt{9-8}}{2}\\\\x=\frac{3\pm\sqrt{1}}{2}\\\\x=\frac{3\pm1}{2}\\x_1=\frac{3-1}{2}\\ \\x_1=\frac{2}{2}\\\\x_1=1\\\\x_2=\frac{3+1}{2}\\\\x_2=\frac{4}{2}\\ \\x_2=2$

You might be interested in

Timothy brought in brownies for his class on his birthday.

IgorC [24]

Answer:

Incomplete problem - reword

Step-by-step explanation:

8 0

3 years ago

5% of is 36<br> A. 72<br> B. 720<br> C. 7.2<br> D. 72.0

Shtirlitz [24]

Answer:

b. 720

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

An instructor made a frequency table of the scores his students got on a test score frequency 30-under 40 1 40-under 50 4 50-und

RideAnS [48]

First, you add up the total number of students because we would base our percentage one this.

Total number of students = 1+4+5+10+20+10+5
Total number of students = 55

Now, let's count how many of them got a score of more than 70. For this, you would only count the students belonging to 70-under 80, 80-under 90 and 90-under 100.

Students who got more than 70 = 20+ 10 + 5 = 35

Therefore the percentage is equal to:
Percentage = 35/55 * 100 = 63.64%

4 0

3 years ago

I'm terrible at fractions I need help

ICE Princess25 [194]

Answer:

4/5

Step-by-step explanation:

8 0

3 years ago

Here is a rectangle which has a width of x cm. x cm

miskamm [114]

Answer:

278.25 cm2

Step-by-step explanation:

If the width of the rectangle is x (cm), as the length is 8cm longer, so that the length of the rectangle is: x + 8 (cm).

In the attached image, we can see the length of each side. Total length of the sides are 90 cm.

=> (x + x + 8) + x + 8 + (x+8) + (x + x + 8) + x + 8 + (x +8) = 90

=> 8x + 48 = 90

=> 8x = 90 - 48 = 42

=> x =42/8 = 5.25 (cm)

=> The width of the rectangle is 5.25cm

=> The length of the rectangle is: 5.25 + 8 = 13.25 cm

=> The area of one rectangle is: Length x Width = 5.25 x 13.25 = 69.5625 cm2

As the 8-sided shape is made from 4 rectangles, so that:

Area of 8 sided shape = 4 x Area of the rectangle = 4 x 69.5625 = 278.25 cm2

6 0

3 years ago