x^2 +2x - 8 = 0
(x - 2) ( x + 4) = 0
x = 2, x = - 2

To simplify the quotient (4^( 400)) / ( 5), we can break it down step by step.

First, let's simplify 4^( 400). Since 400 = 20, we have 4^( 400) = 4^20.

Next, let's simplify 5. Since the square root of 5 cannot be simplified further, we keep it as is.

Now, the quotient becomes (4^20) / ( 5).

To simplify this expression, we can rewrite 4^20 as (2^2)^20 = 2^(2*20) = 2^40.

Therefore, the simplified form of the quotient is (2^40) / ( 5).

(d^2+d-30)/(d^2+3d-40) + (d^2+14d+48)/(d^2-2d-48)
= (d - 5)(d + 6)/(d + 8)(d - 5) + (d + 6)(d + 8)/(d - 8)(d + 6)
= (d + 6)/(d + 8) + (d + 8)/(d - 8)
= (d + 6)(d - 8)/(d + 8)(d - 8) + (d + 8)(d + 8)/(d - 8)(d + 8)
= (d^2 - 2d - 48)/(d + 8)(d - 8) + (d^2 + 16d + 64)/(d + 8)(d - 8)
= (2d^2 + 14d + 16)/(d + 8)(d - 8)

Orographic lifting produces rising air when mountains push the air upward.