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Degger [83]
2 years ago
5

Solve the equation 4x^2-12x=7 algebraically for x.

Mathematics
2 answers:
ss7ja [257]2 years ago
7 0
                            4x² - 12x = 7
                                      - 7  - 7
                       4x² - 12x - 7 = 0
                4x² + 2x - 14x - 7 = 0
2x(2x) + 2x(1) - 7(2x) - 7(1) = 0
          2x(2x + 1) - 7(2x + 1) = 0
                    (2x - 7)(2x + 1) = 0
       2x - 7 = 0    or    2x + 1 = 0
           + 7 + 7                 - 1  - 1
             2x = 7                 2x = -1
              2     2                  2      2
               x = 3¹/₂      or       x = ⁻¹/₂
solmaris [256]2 years ago
7 0
First subtract 7 from each side of the equation.

4x^2 - 12x - 7 = 0.

Now we can substitute terms into our friend the quadratic equation, which you should memorize.  Or we can try a few simple factors.  7 is prime, so to make -7 one number must be positive and one must be negative.

The first pair I tried, (2x + 1)(2x - 7) yield a middle term of -12x.  Therefore, setting each to zero yields:  x = -1/2, or x = 7/2.
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Answer:

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Step-by-step explanation:

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) is divided by (x - 2) with h = 2 , then remainder is

f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21

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2 years ago
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Archy [21]

Answer:

3

Step-by-step explanation:

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Here are my examples:

g(-8)=6

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7 0
3 years ago
If h(x)= 6x - 17, find h(8). *
Lena [83]

The value of h(8) in h(x)= 6x - 17 is 31

<h3></h3>

What are functions:

Functions relate input and output. Therefore, a function takes elements from a set (the domain) and relates them to elements in a set (range).

h(x)= 6x - 17

Let's find h(8)

h(8) = 6(8) - 17

h(8) = 48 - 17

h(8) = 31

learn more on function here:brainly.com/question/15615479?referrer=searchResults

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3 years ago
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