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Leya [2.2K]
3 years ago
9

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

Mathematics
1 answer:
Fofino [41]3 years ago
5 0

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

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