Question
Solve the following quadratic equation using formula method only
$4 - 11 x = 3x^2$
$4 - 11 x = 3x^2$
✓
Answer
$4-11 x=3 x^2 $
$ 3 x^2+11 x-4=0 $
$a=3 ; b=11 ; c=-4$
$ D=b^2-4 a c $
$ =(11)^2-4(3)(-4) $
$=121+48$
$=169$
$x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} $
$x=\frac{-11 \pm \sqrt{169}}{6} $
$x=\frac{-11+13}{6}, x=\frac{-11-13}{6} $
$ x=\frac{2}{6}, x=-\frac{24}{6} $
$x=\frac{1}{3}, x=-4$
$ 3 x^2+11 x-4=0 $
$a=3 ; b=11 ; c=-4$
$ D=b^2-4 a c $
$ =(11)^2-4(3)(-4) $
$=121+48$
$=169$
$x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} $
$x=\frac{-11 \pm \sqrt{169}}{6} $
$x=\frac{-11+13}{6}, x=\frac{-11-13}{6} $
$ x=\frac{2}{6}, x=-\frac{24}{6} $
$x=\frac{1}{3}, x=-4$
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