Justin has a full 15 gallon tank of gas and can travel 22.3 miles per gallon he wants to visit his grandmother that lives 500 miles away will he be able to visit her with one tank of gas

No, because 15 x 22.3 = 334.5 so he can't travel 500 miles with one tank of gas.

x = (-2 ±2sqrt(6))/5

Step-by-step explanation:

2(5x + 2)^2 = 48.

Divide each side by 2

2/2(5x + 2)^2 = 48/2

(5x + 2)^2 = 24

Take the square root of each side

sqrt((5x + 2)^2) = ±sqrt(24)

(5x + 2) = ±sqrt(6*4)

5x+2 = ±sqrt(6)sqrt(4)

5x+2 = ±2sqrt(6)

Subtract 2 from each side

5x+2-2 =-2 ±2sqrt(6)

5x =-2 ±2sqrt(6)

Divide each side by 5

5x/5 =(-2 ±2sqrt(6))/5

x = (-2 ±2sqrt(6))/5