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kolbaska11 [484]
3 years ago
6

Solve the square of this equation with explanation as I don’t understand please

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
<h3>Answer: The two solutions are x = -4 and x = -6</h3>

===========================================================

Explanation:

Cut the x coefficient (10) in half to get 10/2 = 5. Then square this to get 5^2 = 25.

We'll add 1 to both sides so that the "24" turns into "25", thereby completing the square

x^2 + 10x + 24 = 0

x^2 + 10x + 24+1 = 0+1

x^2 + 10x + 25 = 1

Notice on the left hand side we have something of the form A^2+2AB+B^2 where A = x and B = 5. We can factor this into (A+B)^2, which is the whole reason why we completed the square. You can use the FOIL rule to see how (A+B)^2 expands out into A^2+2AB+B^2. Factoring reverses this process.

This means x^2+10x+25 factors to (x+5)^2 and we now have these steps

(x+5)^2 = 1

x+5 = sqrt(1) or x+5 = -sqrt(1)

x+5 = 1 or x+5 = -1

x = 1-5 or x = -1-5

x = -4 or x = -6 are the two solutions

------------------

Let's check x = -4 to see if it works or not

x^2 + 10x + 24 = 0

(-4)^2 + 10(-4) + 24 = 0

16 - 40 + 24 = 0

-24 + 24 = 0

0 = 0

We get a true equation. That confirms x = -4 is a solution.

If we tried x = -6, then,

x^2 + 10x + 24 = 0

(-6)^2 + 10(-6) + 24 = 0

36 - 60 + 24 = 0

-24 + 24 = 0

0 = 0

That x value is confirmed as well.

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Answer:

it would be 3

Step-by-step explanation:

your welcome

7 0
4 years ago
Pls show work thank you!!!
Nastasia [14]

|-16-x|=0\\\\\implies -16-x = 0\\\\\implies x = -16

8 0
2 years ago
The function C = x - 2y is maximized at the vertex point of the feasible region at (8, 2). What is the maximum value?
lubasha [3.4K]

The required maximum value of the function C = x - 2y  is 4.

Given that,
The function C = x - 2y is maximized at the vertex point of the feasible region at (8, 2). What is the maximum value is to be determined.

<h3>What is the equation?</h3>

The equation is the relationship between variables and represented as y =ax +m   is an example of a polynomial equation.

Here,
Function C = x - 2y
At the vertex point of the feasible region at (8, 2)
C = 8 - 2 *2
C= 4

Thus, the required maximum value of the function C = x - 2y  is 4.

Learn more about equation here:

brainly.com/question/10413253

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5 0
1 year ago
A recipe that serves two people calls for 1,600 milligrams of baking soda. You want to make enough for 10 people. How much bakin
Marta_Voda [28]
10/2=5
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8 0
3 years ago
Read 2 more answers
What is the right answer​
Airida [17]

Answer:

{y≥1

,{y-x>0

Step-by-step explanation:

First of all you have to consider the shaded region. It is bound by two lines.

The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.

the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is

y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0

y=x if we subtract x from both sides we have

y-x=0

since the shaded region is on the upper side as y-x increases the in equality will be

y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.

8 0
3 years ago
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