Question

Of the following, which is the solution to 2x2 − 5x = −8? the quantity negative five plus or minus i times the square root of thirty nine over four the quantity five plus or minus i times the square root of thirty nine over four the quantity five plus or minus i times the square root of thirty nine over two the quantity negative five plus or minus i times the square root of one hundred ninety two over two

Answer 1

2x²-5x+8=0
use the quadratic formula, x=(5+√39i)/4 of x=(5-√39i)/4
looks like the second choice is correct.

Answer 2

`x=(5+-√(39))/(4)`

Explanation:

find the solution to
`2x^2 -5x = -8`

To solve the equation for x , we need to make right hand side 0

`2x^2 -5x = -8`, add 8 on both sides

`2x^2 -5x+8 =0`

Now use quadratic formula to solve for x

`x=(-b+-√(b^2-4ac) )/(2a)`

the value of a=2, b=-5 and c=8

Plug in all the values and solve for x

`x=(-b+-√(b^2-4ac) )/(2a)`

`x=(5+-√((-5)^2-4(2)(8)) )/(2(2))`

`x=(5+-√(39))/(4)`

We cannot simplify more