What is the answer for this equation? -4B - 16 = B - 31

B = 3

Step-by-step explanation:

- 4B - 16 = B - 31

Add 31 to both sides:

- 4B -16 + 31 = B - 31 + 31

- 4B + 15 = B

Add 4B to both sides:

- 4B + 4B + 15 = B + 4B

15 = 5B

Divide both sides by 5:

3 = B

Reverse the sides:

B = 3

B = 3

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1