F(x)=t-2(x+4)^2 where t is the constant. if f(-8.3)=f(a) and a > 0 what is the value of a ?

We are given the equation:

F (x) = T – 2 (x + 4)^2                      ---> equation 1

Since we know that f (-8.3) = f(a) and a>0, therefore from equation 1 we can generate that:

(x + 4)^2 = (a + 4)^2

(-8.3 + 4)^2 = (a + 4)^2

(-4.3)^2 = (a + 4)^2

(a + 4)^2 = 18.49

a + 4 = 4.3

a = 0.3

t= 28

Step-by-step explanation:

Isolate t by dividing both sides by 2.