x²=-11x+4
make equal to 0
add 11x-4 to both sides
x²+11x-4=0
factor
you can't
use quadratic formula
for
ax²+bx+c=0
[tex]x= \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]
1x²+11x-4=0
a=1
b=11
c=-4
[tex]x= \frac{-11+/- \sqrt{11^2-4(1)(-4)} }{2(1)} [/tex]
[tex]x= \frac{-11+/- \sqrt{121+16} }{2} [/tex]
[tex]x= \frac{-11+/- \sqrt{135} }{2} [/tex]
[tex]x= \frac{-11+/- 3\sqrt{15} }{2} [/tex]
[tex]x= -5.5+/- 1.5\sqrt{15} [/tex]
[tex]x= -5.5+ 1.5\sqrt{15} [/tex] or [tex]x= -5.5- 1.5\sqrt{15} [/tex]
