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ExtremeBDS [4]
3 years ago
12

3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?

Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3

You might be interested in
Factorise :x^2y^2-16​
Lyrx [107]

Answer:

(xy - 4)(xy + 4).

Step-by-step explanation:

The is the difference of 2 squares.  

a^2 - b^2 = (a - b)(a + b: so we have:

x^2y^2 - 16​ = (xy - 4)(xy + 4)

5 0
3 years ago
Danny rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile d
Kitty [74]

Answer:

194 miles

Step-by-step explanation:

The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not.  If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99.  If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!).  The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:

.92x + 15.99 = 194.47 and

.92x = 178.48 so

x = 194 miles driven

5 0
4 years ago
Please Help. Tristen is building 3 trophies using Legos. He needs 324 total Legos. Tristen uses 220 Legos for the largest trophy
velikii [3]

Answer:

1. The equation is given as

324 = 220 +135 + C

2. We have 166 As the correct answer but is not in the option

Step-by-step explanation:

We are been given the following values

No. of trophies = 3

Total Legos required for all trophies = 324

No. of Legos for largest trophy(A) = 220

No. of Legos for smallest trophy(B) = 135

No. of Legos required for final trophy(C) which is unknown

Total legos will addition of everything

Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]

Substituting the values

324 = 220 +135 + C

Making C subject of formula

324 = 355 + C

324 - 355 = C

-31 = C

135 + 31 = 166

We have 166 As the answer

8 0
4 years ago
1. Given a regular octagon, find the measures of the angles formed by (a) two consecutive radii and (b) a
Fed [463]
A ) The angle formed by 2 consecutive radii:
Ф= 360° : 8 = 45°
b ) The angle formed by a radius and a side of a polygon:
α = (180° - 45°): 2 = 135° : 2 = 67.5°
Answer:
B ) 45°, 67.5°
4 0
3 years ago
3(10 - x) = 21<br> 30 -<br> 21<br> 30 - 3x<br> = 21<br> - 3x<br> - 3x<br> -9<br> =<br> X =
xxMikexx [17]

Answer:

x=3

hope this answers is ok na

3 0
3 years ago
Read 2 more answers
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