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r-ruslan [8.4K]
3 years ago
5

Solve by completing the square: 6x^2+39=5+12x

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
6x^2-12x=-34
x^2-2x=-34/6
x^2-2x=-17/3

x^2-2x+1= -17/3+1/1
x^2-2x+1= -14/3

(x-1)^2= -14/3
x-1= √-14/3

Final answer: No solution (you cannot find the root of a negative number)
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Please help me, I don't know how to solve it
goblinko [34]

Answer:

2a-3 and a+4

Step-by-step explanation:

Given the equation

2a²+8a -15 = 3a - 3

We are to find one of its factors

Equate the expression to zero

2a²+8a -15 = 3a - 3

2a²+8a -15 - 3a + 3 = 0

Collect the like terms

2a²+8a - 3a - 15 + 3= 0

2a²+5a - 12= 0

Factorize

2a²+8a-3a - 12= 0

2a(a+4)-3(a+4) = 0

(2a-3)(a+4) = 0

Hence the factors are 2a-3 and a+4

7 0
3 years ago
6 (2x+7) = 5 x - 11 - x
Delvig [45]

Answer:

x = -53/8

Step-by-step explanation:

6(2x + 7) = 5x - 11 - x

12x + 42 = 5x -11 - x (Distributive property)

12x + 42 = 4x - 11 (Subtraction property)

8x + 42 = -11 (Subtraction Property)

8x = -53 (Subtraction Property)

<u><em>x = -53/8</em></u>

4 0
3 years ago
Read 2 more answers
To have batting aberages over .500, how may hits in 45 times at bat would raul and karen need.
Oduvanchick [21]

i believe it's 22.5 out of 45 to get exactly .500

4 0
3 years ago
The base of a triangle is 5/8 ft. The height is 1/3 ft.
Ierofanga [76]
5/8÷1/3=5/8×3/1
(multiply by reciprocal instead of dividing)
5/8×3/1=15/8=1.875
3 0
3 years ago
The question in the image.
GREYUIT [131]

Answer:

500 boxes

Step-by-step explanation:

<em>hey there,</em>

<em />

< Since "p" stands for profits, change "p" to 0 (since the question says 0 profits).

Here is how your equation would look like:

0 = -n^2 + 300n + 100000

Pretend like "n" is "x" since that is the variable we are trying to find here.

Solve for "n". Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

"n" actually ends up equaling 500, -200.

Obviously, negative can't be the answer because you can't have a negative amount of boxes. So 500 boxes would be your answer. 200 CAN'T be your answer <em>either </em>because it is a negative!! >

<u>Hope this helped! Feel free to ask anything else.</u>

6 0
3 years ago
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