How much is this?
(1/2α+1/3)²

1/(4a^2) + 1/(3a) + 1/9

Step-by-step explanation:

= (1/2a + 1/3)(1/2a + 1/3)

= 1/(4a^2) + 1/(6a) + 1/(6a) + 1/9

= 1/(4a^2) + 2/(6a) + 1/9

= 1/(4a^2) + 1/(3a) + 1/9

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