Question

Solve the equation using the method of completing the square 2x^2+16x-8=0

Answer 1

x=-4+- 2to the square root 5

Answer 2

`x=-4+-2√(5)`

Explanation:

2x^2+16x-8=0

Solve using completing the square method

first we divide whole equation by 2

x^2 + 8x - 4=0

Add 4 on both sides

x^2 + 8x = 4

In completing the square method , we take half of coefficient of middle term and then square it . then add it on both sides

coefficient of middle term is +8

divide it by 2 , 8/2= 4

now square it , 4^2 = 16

add 16 on both sides

x^2 + 8x +16 = 4+16

(x+4)(x+4)= 20

(x+4)^2 = 20

Now take square root on both sides

`x+4=+-√(20)`

Now subtract 4 from both sides

`x=-4+-2√(5)`