Question

The quadratic x^2 + 5x – 14 has what type of roots?

Answer 1

use the descriminant\[b^2 - 4ac\] =0 equal roots >0 real, <0 complex

in your question 5^2 - 4 x 1 x (-14) = 81 so real roots that are rational since 81 is a square number

Answer 2

so one rational double or two rational?

Answer 3

all quadratics have a max of 2 roots.... if

\[b^2 -4ac >0\]

the roots are unequal real,

(x +7)(x-2) means x = -7, 2 these are the roots