Question

Which of the following are solutions to the equation below?

Check all that apply.
5x2²-2x+16=4x2² + 6x
A. -3
B. 4
C. 6
D. 18
E. -4
F. -6

Answer 1

Sure, I'd be happy to help! The equation you provided is:

5x2² - 2x + 16 = 4x2² + 6x

To solve this equation, we can start by combining like terms:

5x2² - 2x + 16 = 4x2² + 6x

This gives us:

5x2² - 2x + 16 = 4x2² + 6x

Now, we can factor the left-hand side of the equation:

5x2² - 2x + 16 = (5x² - 2x)(x + 4)

Now we can see that the left-hand side of the equation factors into two binomials, and the right-hand side of the equation is already factored. Therefore, we can set each factor equal to the corresponding factor on the right-hand side of the equation:

5x² - 2x = 4x²

x + 4 = 6

Now we can solve for x:

x = 2

So, the solution to the equation is x = 2.

BOLD the answer portion using HTML:

The solution to the equation is:

x = 2

Explanation: