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Find two numbers whose sum is 55 and whose product is 684

Q: How do you use a quadratic equation to find two real numbers whose sum is 5 and whose product is -14?

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None, if the coefficients of the quadratic are in their lowest form.

If you mean: (x-2)(x+4) = 0 then it is a quadratic equation whose solutions are x = 2 or x = -4

When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.

Numbers whose product is one is called multiplicative inverses.

Any two numbers whose product is '1' are each others' reciprocals.

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The numbers are 15.75 and -5.75 When tackling probiems like this form a quadratic equation with the information given and solving the equation will give the solutions.

The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.

that's impossibleAnswer:xy=9 and x+y=12reduces to the quadratic equation x2-12x+9=0so that once solvedx=-11.196 and y=-0.80385 (approx)

2

None, if the coefficients of the quadratic are in their lowest form.

2

If you mean: (x-2)(x+4) = 0 then it is a quadratic equation whose solutions are x = 2 or x = -4

When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.

Numbers whose product is one is called multiplicative inverses.

two prime numbers whose product is 141 = 3 & 47

3 and 7 are prime numbers whose product is 21.

-76 and 76 whose product is -5776.

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