1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vichka [17]
3 years ago
10

Solve for x use the completing the square method x^2+6x=5

Mathematics
2 answers:
vitfil [10]3 years ago
8 0

Answer:

x=−3±√14

<em>Hope this helps! </em>

Mrac [35]3 years ago
5 0

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

You might be interested in
A container holds 21 spoons and 27 forks. What is the ratio of spoons to the total number of utensils in the container?
sergey [27]
If there's 21 spoons and 27 forks than there are 48 utensils, and the ratio of spoon to total stilis is 21/48, and if you reduce that it is 7/16. So your answer is B. 7/16.<span />
4 0
2 years ago
A portable electronic typewriter cost £180 in 1988. Its price rose by 5% in 1989. What was the new price?
elena-s [515]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 180}}{\left( \cfrac{5}{100} \right)180}\implies 9~\hfill \stackrel{\textit{new price}}{180+9\implies 189}

5 0
3 years ago
To express a number in one unit as an equivalent value of another unit
ddd [48]
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
4 0
1 year ago
A spring balance measures?<br>​
VMariaS [17]

Answer:

A spring balance measures the weight of an object by opposing the force of gravity acting with the force of an extended spring.

mrk brainliest?

5 0
2 years ago
lily pads increase by 25% very 10days. if a pond starts 22 lilly pads, how many will there be after 50 days
Mars2501 [29]

Step-by-step explanation:

This is an exponential increase. As represented in the picture, approximately 77 lilly pads will be produced after 50 days when there is initial of 22.

7 0
2 years ago
Other questions:
  • Please Help
    8·2 answers
  • A restaurant has two different seating options: a table and a family booth. A table can seat 2 people, and a family booth can se
    11·1 answer
  • 6x-2x+8y-6y (algebra answr very urgent
    5·2 answers
  • Google has just purchased your website that reviews GPS systems. You made a profit of $65,000. You would like to invest the $65,
    15·2 answers
  • What is the slope between the points: (2,2) and (-5,4)
    10·1 answer
  • Which part of this graph shows a linear relationship?
    10·1 answer
  • Ecuaciones con resultado 17
    14·1 answer
  • I need help with this
    13·1 answer
  • 2m · 2n would be the same as _____.<br><br> A) 4 mn<br> B) 2 m + n<br> C) 2 mn<br> D) 2 m - n
    13·2 answers
  • there are 6 batteries in a small paket ofbatteries. there are 9 batteries in a large paket ofbatteries. chow buys m small pakets
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!