Question

-2x^2+11x-15=0Determine what kind of solution it is.Two distinct rational solutions Two distinct irrational solutions Two complex solutions Single rational solutions

Answer 1

given the function

`-2x^2+11x-15=0`

given the quadratic formula

`(-b\pm√(b^2-4ac))/(2a)`

where

a= - 2

b= 11

c= - 15

to find the number of solution we focus on the root

`√(b^2-4ac)`
`√(11^2-4(-2)(-15))`
`√(121-120)`
`√(1)=1`

since the root is a rational number different than 0

the function has Two distinct rational solutions