# Can someone show me steps to get the desired answer ?

## The desired answer is : $- 1 < h < 7$

Aug 31, 2017

refer to explaination.

#### Explanation:

given:-
${x}^{2} + \left(h - 3\right) x + 4$
here discriminant is less than 0.
since it's inequality.

so we know d=${b}^{2} - 4 a c$
d=${h}^{2} + 9 - 6 h - 16$
d < 0; ${h}^{2} - 6 h - 7 < 0$

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

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

$- 1 \le h \le 7$

hope it helps!!