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Alexxx [7]
3 years ago
14

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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I need help , if yk the answer help fr!!!
Feliz [49]

Answer:

The measure of the angle JKG is:

m∠JKG = 56°

Step-by-step explanation:

<u>Given</u>

m∠JKG = 76-2x

m∠FHK = 6x-4

J is a midpoint of the segment FG and K is a midpoint of the segment GH.

<u>To determine</u>

m∠JKG = ?

Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH

We know that two triangles are similar if the only difference is size. So, the angles remain the same.

so m∠JKG and m∠FHK are equal.

i.e.

m∠JKG = m∠FHK

substitute m∠JKG = 76-2x and m∠FHK = 6x-4

76-2x = 6x-4

6x+2x = 76 + 4

8x = 80

divide both sides by 8

8x/8 = 80/8

x = 10

Therefore, the value of x = 10

As

m∠JKG = 76-2x

substitute x = 10

m∠JKG = 76 - 2(10)

             = 76 - 20

             = 56°

Therefore, measure of the angle JKG is:

m∠JKG = 56°

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Step-by-step explanation:

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