Question

Solve for x. Use the completing the squares method. Round decimals to the nearest tenth. 2x2+16x=−18 (

Answer 1

`x = -4 (+)/(-) 2√(5\\)`

Explanation:

Answer 2

To solve by completing square method we proceed as follows:
2x^2+16x=-18
dividing through by 2 we get:
x^2+8x=-9
but
c=(-b/2a)^2
c=(-8/2)=16
hence
x^2+8x+16=-9+16
x^2+8x+16=7
(x+4)(x+4)=7
(x+4)^2=7
thus getting the square root of both sides
x+4=+/-√7
x=-4+/-√7
x=