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victus00 [196]
3 years ago
11

X2 - 12x -6=0 Complete the square

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

(x - 6)^2 = 42

Step-by-step explanation:

Using " ^ " to indicate exponentiation, we have:

x^2 - 12x -6=0

Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.

Start by taking HALF of the coefficient of x, that is, HALF of -12.  We get -6.

Next, square this result:  (-6)^2 = 36.

Finally, add this 36 to both sides, obtaining:

x^2 - 12x + 36 - 6 = 36

Rewriting the first three terms, we get:

(x - 6)^2 - 6 = 36, or

(x - 6)^2 = 42   This is the end result to "completing the square."

If you want to go further and actually solve for x, then see below:

Taking the square root of both sides, we get

x - 6 = ±√42

Then x = 6 ± √42, or

x = 6 + √42 and

x = 6 - √42

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LUCKY_DIMON [66]
About 260 kids have blue eyes or prefer blue eyes
6 0
3 years ago
How many solutions are there to the equation below?
Elza [17]

Answer:

no solution

Step-by-step explanation:

heres why:

Let's solve your equation step-by-step.

4x−9(x+1)=20−5x

Step 1: Simplify both sides of the equation.

4x−9(x+1)=20−5x

4x+(−9)(x)+(−9)(1)=20+−5x(Distribute)

4x+−9x+−9=20+−5x

(4x+−9x)+(−9)=−5x+20(Combine Like Terms)

−5x+−9=−5x+20

−5x−9=−5x+20

Step 2: Add 5x to both sides.

−5x−9+5x=−5x+20+5x

−9=20

Step 3: Add 9 to both sides.

−9+9=20+9

0=29

so there are no solution

4 0
3 years ago
Write the equation for g(x).
MrRissso [65]

Answer:

g(x) = 5x^{2}

Step-by-step explanation:

This problem may seem tricky at first, but after you understand the basic concepts about vertical stretches and vertical shrinks, this problem will become much simpler. Additionally, if you use the online tool: DESMOS, you will be able visualize things better.

First, you may notice the graph is more narrow than the original "f(x)" graph. This means that the g(x) graph is a vertical shrink. A vertical shrink can be achieved by adding a whole-number as a coefficient to the "x^{2} \\" formula. Adding a coefficient of "5" would result in coordinates like (1,5), just like adding a coefficient of "2" for example would result in coordinates like (1,2).

 

5 0
3 years ago
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
kotegsom [21]

Answer:

The answer is B.

Step-by-step explanation:

Point A is on (-6,7) is you move it two left and 2 up it changes to the point (-8,9)

Hope this helped.

A brainliest is always appreciated.

4 0
2 years ago
A town has a population of 2000 and grows at 4% every year. What will be the population after 15 years, to the nearest whole num
Gwar [14]

Answer:

3200

Step-by-step explanation:

growth = current population + rate * time

            = 2000 * .04 * 15

            = 1200

original population + growth = total

2000 + 1200 = 3200

8 0
3 years ago
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