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

$\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where

a= - 2

b= 11

c= - 15

to find the number of solution we focus on the root

$\sqrt{b^2-4ac}$$\sqrt{11^2-4(-2)(-15)}$$\sqrt{121-120}$$\sqrt{1}=1$

since the root is a rational number different than 0

the function has Two distinct rational solutions