Question

If x^2 - 3x-4<0 then x lies in the interval...​

Answer 1

ANSWER:-

f(x)=X^2-3X-4<0

first solve the quadratic equation

f(x)=0 to get the 2 real roots .

since a-b+c=0,use shortcut.

The real roote are:x1=-1 and

x=-c/a=4/2=2

since a=1>0, the parabola graph open upward.Between the 2 real roots,f(x)<0as the graph stays below the x-axis.

Answer by open interval:(-1,2)

The 2 end points(critical points)aren't included in the solution set.

see the graph in the attachment please

hope it helps you:)

thank you