Question

Michele correctly solved a quadratic equation using the quadratic formula as shown below.

Answer 1

Answer:

The original equation must have been:

$7x^{2} -5x-2=0$

Step-by-step explanation:

A quadratic equation is in the form of :

$ax^{2} +bx+c=0$

And it is solved in the form of :

$x=\frac{-b+\sqrt{b^{-4ac} } }{2a}$ and $x=\frac{-b-\sqrt{b^{-4ac} } }{2a}$

Now the given equation is :

$x=\frac{-(-5)+-\sqrt{(-5)^{2} -4(7)(-2)} }{2(7)}$

We can see that here;

a = 7

b = -5

c = -2

So, the original equation must have been:

$7x^{2} -5x-2=0$