Answer:
The original equation must have been:
[tex]7x^{2} -5x-2=0[/tex]
Step-by-step explanation:
A quadratic equation is in the form of :
[tex]ax^{2} +bx+c=0[/tex]
And it is solved in the form of :
[tex]x=\frac{-b+\sqrt{b^{-4ac} } }{2a}[/tex] and [tex]x=\frac{-b-\sqrt{b^{-4ac} } }{2a}[/tex]
Now the given equation is :
[tex]x=\frac{-(-5)+-\sqrt{(-5)^{2} -4(7)(-2)} }{2(7)}[/tex]
We can see that here;
a = 7
b = -5
c = -2
So, the original equation must have been:
[tex]7x^{2} -5x-2=0[/tex]
