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The solutions to which of the following equations are 4 and 10?

The solutions to which of the following equations are 4 and 10?-example-1

1 Answer

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Answer:

Equation B.

Explanation:

These are all quadratic equations, which are solved through the quadratic formula:


(-b+-√(b^2 -4ac))/(2a)

where a is the coefficient of our second degree term (the number that is multiplying
x^2), b is the coefficient of our first degree term (the number multiplying
x), and c is our independent term (the number that is not accompanied by any
x).

Quadratic equations can have either one, two or zero solutions. To find hem, we simply plug the coefficients into the formula (For example: in our first equation,
a=1,
b=14,
c=-40).

Repeating this process in all four equations, we get that there is only one equation that meets our conditions:

Equation B. Solutions:
x=4 and
x=10

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