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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

Respuesta :

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:

[tex]x=\frac{5+-\sqrt{39}}{4}[/tex]

Step-by-step explanation:

find  the solution to [tex]2x^2 -5x = -8[/tex]

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

[tex]2x^2 -5x = -8[/tex], add 8 on both sides

[tex]2x^2 -5x+8 =0[/tex]

Now use quadratic formula to solve for x

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

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

Plug in all the values and solve for x

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{5+-\sqrt{(-5)^2-4(2)(8)} }{2(2)}[/tex]

[tex]x=\frac{5+-\sqrt{39}}{4}[/tex]

We cannot simplify more

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