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Sloan [31]
3 years ago
11

5(5 + x) = 11(9 +x) Answer as a fraction.

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

5(5 + x) = 11(9 + x)

25 + 5x = 99 + 11x

Subtract 5x from both sides and 99 from both sides to get variables on one side and constants on the other.

25 - 99 = 11x - 5x

-74 = 6x

Divide by 6 on both sides to isolate the variable.

-74/6 = x or -12 and 1/3 = x

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Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?
Bingel [31]

Answer:

x = 2±sqrt(11)

Step-by-step explanation:

x^2 -4x - 7 =0

Add 7 to each side

x^2 -4x -7+7 =0+7

x^2 -4x =7

To complete the square take the coefficient of the x term and  divide by 2 and then square it.  Add it to both sides

-4 /2 = -2 then square

(-2)^2 = 4

Add 4 to both sides

x^2 -4x+4 =7+4

x^2 -4x+4 = 11

Factor the left side into (x-b/2)^2

(x-2)^2 =11

Take the square root of each side

sqrt((x-2)^2) =±sqrt(11)

x-2 = ±sqrt(11)

Add to to each side

x-2+2 = 2±sqrt(11)

x = 2±sqrt(11)

3 0
3 years ago
I don't understand this
Taya2010 [7]
The answer to the problem is B.
7 0
3 years ago
Read 2 more answers
Find a quadratic expression with integer coefficients whose roots are <img src="https://tex.z-dn.net/?f=5%2F2%2B%203i" id="TexFo
prohojiy [21]

Answer:

4x² -20x  +61

Step-by-step explanation:

the quadratic equation can be written as (x-root1)(x-root2)

(x-(5/2) -3i) (x-(5/2)+3i), distribute

x² -(5/2)x +3xi -(5/2)x + 25/4 -(15/2)i -3xi +(15/2)i -9i², simplify

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x² -(5/2)x -(5/2)x + 25/4 +9, combine like terms and rewrite 9 as 36/4

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x² -5x  +61/4 is the quadratic expression yet it does not have integer coefficients so multiply by 4 to have all coefficients integers

4x² -20x  +61

7 0
3 years ago
south high school has 85 students more than North High School. The total number for both schools is 1495. How many students are
Soloha48 [4]
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6 0
3 years ago
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Bingel [31]

Answer:

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