Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

3x squared -16x - 7=5

Sagot :

olemakpadu
3x^2 - 16x - 7 = 5.    This is a quadratic equation.  Cross the 5 to the other side.

3x^2 - 16x - 7 - 5 = 0

3x^2 - 16x - 12 = 0.    Let us use factorization method.

Multiply the first coefficient and last term = 3 * -12 = -36.

We think of two numbers that multiply to give -36 and add up to give the middle coefficient -16.

The two numbers  are = 2 and -18.

2 * -18 = -36.
2 + (-18) = -16.

We replace the middle term -16 with 2 +(-18) = 2 - 18.

3x^2 - 16x - 12 = 0

3x^2 + 2x - 18x - 12 = 0      Factorize.

x(3x + 2)  - 6(3x + 2) = 0

(3x + 2) (x -6)  = 0.

Therefore (3x + 2) = 0 or   (x -6) = 0

(3x + 2) = 0                      x - 6 = 0
3x = 0 -2                          x = 0 + 6
3x = -2                             x = 6
x = -2/3 
3x = -2
x = -2/3 
Therefore  x = -2/3  or 6.



We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.