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Art [367]
3 years ago
7

Solve x2 + 8x + 22 = 0 by completing the square.

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

A)

Step-by-step explanation:

the solution of a squared equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = 8

c = 22

x = (-8 ± sqrt(64 - 88))/2 = (-8 ± sqrt(-24))/2 =

= (-8 ± sqrt(4×-6))/2 = (-8 ± 2×sqrt(-6))/2 =

= -4 ± sqrt(-6) = -4 ± i×sqrt(6)

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Read 2 more answers
2x+7y=-6<br> 4x-y=18\<br> show step by step how it is solved
abruzzese [7]

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

  • Elimination
  • Substitution
  • Graphing

Here, we are going to use <u>elimination </u>since all the variables are in the corresponding position.

Solve:

<u>Given</u>

\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.

<u>Multiply the first equation in order to eliminate [x]</u>

\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.

<u>Subtract the second equation from the first equation to eliminate [x]</u>

14y-y=-12+18

13y=6

<u>Divide 13 on both sides</u>

13y/13=6/13

\boxed{y=\frac{6}{13} }

<u>Substitute [y] value in order to get [x] value</u>

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

\boxed{x=\frac{60}{13} }

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
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