Answer:
Step-by-step explanation:
2x^2+8x-12=0
with form
ax^2+bx+c=0
move c to the other side
2x^2+8x=12
x^2 is multiplied -> divide equation by 2
x^2+4x=6
complete square:
divide b=4 by 2
4*1/2=2
square 2
2^2=4
add 4 to both sides
x^2+4x=6
x^2+4x+4=6+4
x^2+4x+4=10
transform to polynom
(x+2)^2=10
this left side is option B multiplied by a factor of 16 and therefore equal:
(4x + 8)^2
(4*4)x^2+(4*2*8)x+8*8
16x^2+64x+64
x^2+4+4
bonus: calculate root
x+2=+/-sqrt(10)
x=-2+/-sqrt(10)
<h2 /><h2>so it is option B</h2>
- <em>2x^2 + 8x - 12 = 0..divide by 2</em>
- <em>x^2 + 4x - 6 = 0</em>
- <em>x^2 + 4x = 6...add 4 to both sides of the equation</em>
- <em>x^2 + 4x + 4 = 6 + 4</em>
- <em>(x + 2)^2 = 10....<== ur constant is 10</em>
- <em>x + 2 = (+-)sqrt 10</em>
- <em>x = -2 (+ - ) sqrt 10</em>
- <em></em>
- <em>x = -2 + sqrt 10</em>
- <em>x = -2 - sqrt 10</em>
- <em></em>
- <em></em>
- <em></em>
Answer:
Step-by-step explanation:
Maria had a test with 20 questions
if 17 are correct,
20 questions................................100%
17 questions................................?%
she was 85% right
Answer:
18 cups
Step-by-step explanation:
Answer:
Given the mass of the object = 15g
Given the volume of the object = 3 mL
Density = ?
Step-by-step explanation:
We have two values of an object that is mass of the object and volume of the object. Now we are required to find the Density of the object. In order to find the density of the object, we have to divide the given mass with the given volume. Below is the calculation of the density.
Density = Mass / Volume
Density = 15g / 3 mL
Density = 5 g/ml