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

Answer:

$x=\frac{5+-\sqrt{39}}{4}$

Step-by-step 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

$x=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

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

Plug in all the values and solve for x

$x=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

$x=\frac{5+-\sqrt{(-5)^2-4(2)(8)} }{2(2)}$

$x=\frac{5+-\sqrt{39}}{4}$

We cannot simplify more

Answer 2

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