Question

Josephine solved a quadratic equation. Her work is shown below.

Answer 1

Answer:

Step-by-step explanation:

hello :

5(x + 7)² = 245

(x + 7)² = 49

x=0 is solution but you have other solution -14 because :(-14+7)² = (-7)² =49

here is an solution Step-by-step :

(x + 7)² = 49  means : (x + 7)² = 7²

(x + 7)² - 7²=0   use identity : a²-b² = (a-b)(a+b)

a=x+7  and b= 7

(x+7-7)(x+7+7) = 0

x(x+14)=0

x=0 or x+14=0

so : x=0 or x= -14