Question

Can someone show me steps to get the desired answer ?

The desired answer is : `-1 < h < 7`

Answer 1

refer to explaination.

Explanation:

given:-
`x^2+(h-3)x+4`
here discriminant is less than 0.
since it's inequality.

so we know d=`b^2-4ac`
d=`h^2 +9 -6h -16`
d < 0; `h^2 -6h -7 <0`

use splitting the middle term.
h=-1,h=7

so ,h is a real no. varying from -1 to 7

`-1 <=h <=7`

hope it helps!!