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FrozenT [24]
3 years ago
14

Solve for x in the equation 2x^2+3x-7=x^2+5x+39

Mathematics
2 answers:
miv72 [106K]3 years ago
9 0
Subtract x^2 from both sides
x^2 + 3x - 7 = 5x + 39
Subtract 5x from both sides
x^2 - 2x - 7 = 39
Add 7 to both sides
x^2 - 2x = 46
Complete the square by adding (b/2)^2 to both sides, b = ( -2)
(-2/2) = -1, then square that (-1)^2 = 1
x^2 - 2x + 1 = 46 + 1
Simplify the expression by factoring
(x - 1)^2 = 47
Take square root on each side
x - 1 = (sqrt (47))
Solve for x
x = 1 + (sqrt (47))
Since 47 is prime, 47 cannot be broken down by the square root and this is the answer to your problem.

sertanlavr [38]3 years ago
7 0

Answer:

x=1\pm\sqrt{47}

Step-by-step explanation:

We have been given an equation 2x^2+3x-7=x^2+5x+39. We are asked to find the solution for our given equation.

2x^2+3x-7=x^2+5x+39

2x^2-x^2+3x-7=x^2-x^2+5x+39

x^2+3x-7=5x+39

x^2+3x-5x-7-39=5x-5x+39-39

x^2-2x-46=0

Using quadratic formula, we will get:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-46)}}{2(1)}

x=\frac{2\pm\sqrt{4+184}}{2}

x=\frac{2\pm\sqrt{188}}{2}

x=\frac{2\pm2\sqrt{47}}{2}

x=1\pm\sqrt{47}

Therefore, the solutions for our given equation are x=1\pm\sqrt{47}.

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<h2> Distance formual</h2>

<h2> √(x2-x1)^+(y2-y1)^</h2>

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6 0
3 years ago
A boat can travel 105 miles on 15 gallons of gasoline. How much gasoline will it need to go 140 miles?
Mrac [35]

Answer:

20 gallons

Step-by-step explanation:

105/15=7

7*20=140

4 0
3 years ago
Read 2 more answers
Help me plz guys for 14 point​
strojnjashka [21]
I think its true, since perimeter is the diatance around. I would say mines correct, but you could try. I hope that helped atleast a little. :)
8 0
2 years ago
Fifty six plus blank equals five hundred and four six
anzhelika [568]

Answer:

490

Step-by-step explanation:

546-56= 490

490+56= 546

4 0
3 years ago
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Umberto buys a game for $7.89 and some batteries for $5.49. He pays with a $20 bill. Which is the best estimate of change he sho
Anika [276]

The change is the remaining money that is needed to take from the seller so a change of Umberto will be $6.62.

<h3>What is subtraction?</h3>

To subtract in mathematics is to take something away from a group or a number of objects.

The group's total number of items decreases or becomes lower when we subtract from it.

Given that,

Umberto buys a game for $7.89 and some batteries for $5.49.

Total money of buying = 7.89 + 5.49 = $13.38

Now he gives a $20 bill.

Remaining (change) = 20 - 13.38

⇒ $6.62

Hence "The change of Umberto will be $6.62".

For more about subtraction,

brainly.com/question/1927340

#SPJ1

6 0
1 year ago
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