Explain why the equation below has two solutions. Then solve the equation to find the solutions. Must show all work and have a written explanation to receive full credit.
(x+3)^2+8=72

The solutions are x=-11 and x=5

Step-by-step explanation:

we have

Is a quadratic equation or equation of second degree.

The degree (largest exponent) is 2 so the maximum number of roots (solutions) is 2

Solve for x

take square root both sides

subtract 3 both sides

therefore

The solutions are x=-11 and x=5

x = 5, -11

Step-by-step explanation:

(x+3)² + 8 = 72

(x + 3)² = 64

When you square root both sides, put a +- with root(64)

(x + 3) = 8

x = 5

(x + 3) = -8

x = -11

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas