A solution to the equation 2x^2-3x-17=0 lies between 2&3 use method of trail and improvement to find the solution

Sub 2.5 into equation
it returns 6.75 so x<2.5
sub 2.25
it returns -0.96875 so 2.25<x<2.5
sub 2.4
it returns 3.448 so 2.25<x<2.4
sub 2.3
it returns 0.434
so 2.25<x<2.3so to 1 dp x=2.3
working it out analytically x