Question

if x²-5x+6 is positive then x belongs to
a) R b) (-4,8) c) (-4,-8) d) none​

Answer 1

Answer:

(d) none

Step-by-step explanation:

a = 1

b = -5

c. = 6

using quadratic formula :- b² - 4ac

(-5)² - 4 × 1 × 6

25 - 24

1 > 0

Now, to find the value of x :-

x = -b ± √(b² - 4ac) / 2a

x = -(-5) ± √1 / 2 × 1

x = +5 ± 1 / 2

x = 5 + 1 / 2

x = 6 / 2

x = 3

or

x = 5 - 1 / 2

x = 4 / 2

x = 2

(3, 2)

So, from the above options we conclude that the answer is (d) none