Question

What are the solutions of 2x2 + 3x = −5?

the quantity negative 3 plus or minus i square root of 31 all over 4

the quantity negative 3 plus or minus 7i all over 4

the quantity negative 3 plus or minus i square root of 19 all over 4

the quantity negative 3 plus or minus 4i all over 4

Answer 1

Answer:a

Explanation:

Given

`2x^2+3x=-5`

or it can be write as

`2x^2+3x+5=0`

Finding discriminant of equation

`D=b^2-4ac`

`D=3^2-4* 2* 5`

D=9-40=-31

D<0 therefore there are no real roots

so

`x=(-3\pm √(3^2-4* 2* 5))/(2* 2)`

`x=(-3+i√(31))/(4) and (-3 -i√(31))/(4)`