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3 years ago

Which of the following are solutions to the equation below?

Mathematics

2 answers:

Semmy [17]3 years ago

7 0

Answer:

x = -3 or x = -6

Step-by-step explanation:

Solve for x over the real numbers:

3 x^2 + 27 x + 54 = 0

The left hand side factors into a product with three terms:

3 (x + 3) (x + 6) = 0

Divide both sides by 3:

(x + 3) (x + 6) = 0

Split into two equations:

x + 3 = 0 or x + 6 = 0

Subtract 3 from both sides:

x = -3 or x + 6 = 0

Subtract 6 from both sides:

Answer: x = -3 or x = -6

Elodia [21]3 years ago

4 0

Answer:

x = -3, -6.

Step-by-step explanation:

3x2 + 27x + 54 = 0

Divide through by 3:

x^2 + 9x + 18 = 0

(x + 3)(x + 6) = 0

x = -3, -6.

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1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a

Aleks04 [339]

Answer:

y + 5 = (3/2)(x - 4)

Step-by-step explanation:

The point-slope formula is y - k = m(x - h). We get h and k from the given point: h = 4 and k = -5, and m from the given slope: 3/2. Then we have:

y + 5 = (3/2)(x - 4)

7 0

2 years ago

Solve for x in the equation: x^2 - x = 20

max2010maxim [7]

X=5
cuz 5^2=25
25-5=20

8 0

2 years ago

Solve each equation. Record your work and check your solution. a. 5(x-2)+(-9)= -7(1-x)

Daniel [21]

The solution for equation is x = -6

Solution:

Given equation is:

$5(x-2) + (-9) = -7(1-x)$

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

$5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x$

Solve for terms in left hand side of equation

$5x - 19 = -7+7x$

Move the variables to one side and constants to other side

$7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6$

Thus the solution for equation is x = -6

8 0

2 years ago

Which one is greater

Elanso [62]

The one on the right would be greater

4 0

3 years ago

Read 2 more answers

A Rectangular Room has a length of 3 more than its width. The perimeter of the room is 90. What is the width of the room?

nignag [31]

The answer to your question is 21

4 0

2 years ago