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Q: What is a zero of the equation x3-7x2-78x 216?

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Without an equality sign it is not an equation. But if: 6n = 216 Then: n = 36

A horizontal line has a slope of zero. The equation of a horizontal line is y = a.

Ignoring the zero, one in 216

That its roots (solutions) are coincident.

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It is equivalent to the equation: 6m = 216

Po-216- -----------------> Pb-212

The equation above is correct.

Without an equality sign it is not an equation. But if: 6n = 216 Then: n = 36

A horizontal line has a slope of zero. The equation of a horizontal line is y = a.

It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.

Ignoring the zero, one in 216

Not sure what you mean by "zero element". If an expression is equal to zero, and you can factor it, then at least one of the factors must be zero; this is often useful to solve an equation.

That its roots (solutions) are coincident.

That its roots (solutions) are coincident.

Yes most of them do equal zero.

Without an equality sign the given terms can't be considered to be an equation.