+2824
I am in need of how this answer was derived. I come up with something completely different
Original equation is given as 4xsquared=3-8x.
I get -1 plus or minus square root of 112.
the answer sheet shows the answer to be -2 plus or minus square root of 7 over 2.
4x2 = 3 – 8x
4x2 + 8x – 3 = 0
– b + sqrt(b2 – 4ac)
x = –––––––––––––––––––
2a
– 8 + sqrt(64 + 48)
x = –––––––––––––––––––
8
– 8 + sqrt(112)
x = –––––––––––––––––––
8
– 8 + sqrt(16 • 7)
x = –––––––––––––––––––
8
– 8 + 4 sqrt(7)
x = –––––––––––––––––––
8
x = – 1 + (1/2) sqrt(7)
.
