If you could show the steps that would be great

Mathematics

2 answers:

zvonat [6]3 years ago

4 0

Answer:

24x + 8

Step-by-step explanation:

4 + 16 - 12(1 + 2x)

Solve

Show steps

__________________

We have a dilemma here, there is a variable and constant numbers in this equation. No fear, this is when like terms comes into play, where you can only combine two numbers that have the same ending, whether it be variables, exponents, e.t.c.

Distribute :

4 + 16 - 12(1 + 2x)

4 + 16 - (12(1) + 12(2x))

4 + 16 - 12 + 24x

Use PEMDAS (Add left to right) :

4 + 16 - 12 + 24x

20 - 12 + 24x

8 + 24x

24x + 8

Alik [6]3 years ago

3 0

8-24x is your answer

Step-by-step explanation:

4+16-12(1+2x)

20-12-24x

8-24x

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The difference between roots of the quadratic equation x^2+x+c=0 is 6. find c.

DiKsa [7]

Answer:

$\displaystyle c = -\frac{35}{4} = -8.75$ .

Step-by-step explanation:

Let the smaller root to this equation be $m$ . The larger one will equal $m + 6$ .

By the factor theorem, this equation is equivalent to

$a(x - m)(x - (m+6))= 0$ , where $a \ne 0$ .

Expand this expression:

$a\cdot x^{2} - a(2m + 6)\cdot x + a(m^{2} + 6m) =0$ .

This equation and the one in the question shall differ only by the multiple of a non-zero constant. It will be helpful if that constant is equal to $1$ . That way, all constants in the two equations will be equal; $(m^{2} + 6m)$ will be equal to $c$ .

Compare this equation and the one in the question:

The coefficient of $x^{2}$ in the question is $1$ (which is omitted.) The coefficient of $x^{2}$ in this equation is $a$ . If all corresponding coefficients in the two equations are equal to each other, these two coefficients shall also be equal to each other. Therefore $a = 1$ .