Question

find the maximum value of the quadratic expression -3x2+7x+4​

Answer 1

Given:

-3x²+7x+4=0....... (Quadratic equation)

To Find:

Roots of the quadratic equation=?

Solution:

-3x²+7x+4= 0.....(Given)

Comparing the above equation with

ax²+bx+c=0

So, a=-3, b=7 and c=4

b²-4ac=(7) ²-4×-3×4

=40+48

=88

Now, by formula method,

x=-b±√b²-4ac/2a

x= -7±√88/2×-3

x=-7+√88/-6 or x= -7-√88/-6

x= -7+2√22/-6 or x= -7-2√22/-6