8 The table shows the prices of some brunch items
at a restaurant. JoVanna ordered a breakfast burrito,
side of fruit, and ordered two extra slices of sausages.
ITEM
PRICE
BREAKFAST BURRITO
$11.99
FRUIT
$4.99
SLICE OF BACON
$2.09
JoVanna paid $0.78 for the sales taxes of her meal.
How much did she pay in total?

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