Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Use the zero product property to find the solutions to the equation x? + 12 = 7x.
X= -4 orx= 3
4 or X = -3
X=-30rX=4
X=30rX=4

Sagot :

sqdancefan

Answer:

  (d)  x = 3  or  x = 4

Step-by-step explanation:

The zero product property can be used to find the solutions to a polynomial equation when it is written in factored form.

__

Your polynomial can be put in factored form like this:

  x² +12 = 7x . . . . . given

  x² -7x +12 = 0 . . . . . standard form

  (x -3)(x -4) = 0 . . . . . factored form*

  x = 3  or  x = 4 . . . . . . values of x that make the factors zero

_____

* The constants in the binomial factors must have a sum of -7 and a product of +12. It is often convenient to find them by listing factor pairs of 12:

  12 = (-1)(-12) = (-2)(-6) = (-3)(-4)

Negative factors are used because we know the sum must be negative. Both have the same sign so their product is positive. The sums of the pairs shown are -13, -8, -7. The last pair is what we're looking for.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.