Question
Solve the following quadratic equation using formula method only
$25x^2 + 30x + 7 = 0$
$25x^2 + 30x + 7 = 0$
✓
Answer
$25 x^2+30 x+7=0 $
$a=25 ; b=30 ; c=7$
$ D=b^2-4 a c$
$ =(30)^2-4(25)(7) $
$ =900-700 $
$ =200$
$ x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} $
$x=\frac{-30 \pm \sqrt{200}}{50} $
$ x=\frac{-30+10 \sqrt{2}}{50} \times=\frac{-30-10 \sqrt{2}}{50}$
$ x=\frac{-3+\sqrt{2}}{5}, x=\frac{-3-\sqrt{2}}{5}$
$a=25 ; b=30 ; c=7$
$ D=b^2-4 a c$
$ =(30)^2-4(25)(7) $
$ =900-700 $
$ =200$
$ x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} $
$x=\frac{-30 \pm \sqrt{200}}{50} $
$ x=\frac{-30+10 \sqrt{2}}{50} \times=\frac{-30-10 \sqrt{2}}{50}$
$ x=\frac{-3+\sqrt{2}}{5}, x=\frac{-3-\sqrt{2}}{5}$
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