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Alexus [3.1K]
3 years ago
12

State the largest solution of (x + 3)2 - 4 = 0.

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0
Hello :
(x+3)² -2² = 0
by identite :  a²-b² =(a-b)(a+b)
(x+3-2)(x+3+2)= 0
(x+1)(x+5)=0
x+1=0 or x+5=0
x=-1 or x=-5
<span>the largest solution is : - 1</span>
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(2x+5)+3(x-6)=90 what is x
snow_lady [41]
I don’t know if I’m 100% correct but I got

Exact form x= 103/5
Decimal form x=20.6
8 0
3 years ago
Can someone please help!!!
RideAnS [48]

Answers:

  • System 1:  x = 3 and y = -5
  • System 2: x = 1 and y = 2

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

Explanation:

For now, let's focus on system 1.

We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.

  • The x terms subtract to 7x-x = 6x
  • The y terms subtract to 0 and go away
  • The right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18

After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.

Once we know x, we can find out y.

7x+2y = 11

7(3)+2y = 11

21+2y = 11

2y = 11-21

2y = -10

y = -10/2

y = -5

or we can say

x+2y = -7

3+2y = -7

2y = -7-3

2y = -10

y = -10/2

y = -5

We should lead to the same y value either way. This helps confirm we have the correct x value.

Overall, the solution to system 1 is (x,y) = (3, -5)

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

Now onto system 2.

Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.

The new equivalent system is

\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}

Now we have the same situation as before: Subtract straight down, solve for x.

  • The x terms subtract to 7x-(-2x) = 7x+2x = 9x
  • The y terms go away when subtracting
  • The right hand sides subtract to 11-2 = 9

So we have 9x = 9 and that solves to x = 1.

We'll use this x to find the y value.

7x+2y = 11

7(1)+2y = 11

7+2y = 11

2y = 11-7

2y = 4

y = 4/2

y = 2

Or you could pick on the second equation

-x+y = 1

-1+y = 1

y = 1+1

y = 2

6 0
2 years ago
39.2 is what percent p of 112
madam [21]
39.2 is what percent p of 112

39.2/112

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Convert to percent:-

0.35 × 100 = 35
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3.92 is 35% of 112.
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Step-by-step explanation:

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