Question

Will give Brainliest (:

Answer 1

After adding $B^2$ to both sides of the equation in step 4, the constant on the right side of the equation would be 112.  Sooooo, choice B. :)

Answer 2

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)

so it is option B

• 2x^2 + 8x - 12 = 0..divide by 2
• x^2 + 4x - 6 = 0
• x^2 + 4x = 6...add 4 to both sides of the equation
• x^2 + 4x + 4 = 6 + 4
• (x + 2)^2 = 10....<== ur constant is 10
• x + 2 = (+-)sqrt 10
• x = -2 (+ - ) sqrt 10
• x = -2 + sqrt 10
• x = -2 - sqrt 10