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Elena L [17]
3 years ago
14

Solve x2 + 2x = 4 for x by completing the square. x equals plus or minus square root of 5 plus 1 x equals plus or minus square r

oot of 5 minus 1 x = 1 x = 3
Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

x equals plus or minus square root of 5 minus 1

Step-by-step explanation:

we have

x^{2} +2x=4

Divide by 2 the coefficient of the x-term

2/2=1

squared the number

1^2=1

Adds both sides

x^{2} +2x+1=4+1

x^{2} +2x+1=5

Rewrite as perfect squares

(x+1)^{2}=5

take the square root both sides

x+1=(+/-)\sqrt{5}

x=(+/-)\sqrt{5}-1

therefore

x equals plus or minus square root of 5 minus 1

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3 years ago
How do i do numer 1 and 3.?!?!?!?!?!
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To solve each question, all you've got to do is add the two numbers together and then graph the result on the number line.

1.) -3 +(-1.5)
Add 3 to -1.5. It would be the same as subtracting 1.5 from -3(-3 - 1.5)
Final Answer: -4.5<span>
Or, since you are using a number line, start on -3 and go left 1.5 units and you will land on the -4.5 point. You go to the left because you are adding a negative number..
</span>
2.) 1.5+3.5
Add<span>
Final Answer: 5
</span>Or, since you are using a number line, start on 1.5 and go to the right 3.5 and you will land on 5. You go to the right because you are adding a positive number.<span>

</span>3.) 1/4 + 1/2
Multiply 1/2 by 2 to make both fractions have the same denominator
1/4 + 2/4
Add<span>
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</span>Or, since you are using a number line, start on 1/4 and go up 2/4 and you will land on 3/4 as the result.<span>

</span>4.) -1 1/2 + (-1 1/2)
Add -1 1/2 to -1 1/2. This would be the same as subtracting 1 1/2 from -1 1/2(-1 1/2 - 1 1/2)<span>
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