SOLUTION: To Whom It May Concern: Your assistance is greatly appreciated. Didn't have the textbook info yesterday when I submitted these questions. The questions are from a quiz th

Algebra.Com
Question 67703This question is from textbook Algebra and Trigonometry with Analytic Geometry
: To Whom It May Concern:
Your assistance is greatly appreciated.
Didn't have the textbook info yesterday when I submitted these questions.
The questions are from a quiz that I took for my online course.

Find the value of k that completes the square for x2 + 10x + k?

Use completing the square or the quadratic formula to find the solutions to the equation x2 – 4x + 2 = 0

Find the solutions to the equation: x2 + 2x + 5 = 0?

Find the solutions to the equation: x + 7/x = 8?

Solve the equation: x – 3 – sqrt x – 1 = 0?

Solve the equation: x + 2 – 2 sqrt x + 2 = 0?

Solve the inequality 2 | x – 10 | < 3 and express the solution as an interval?
Please get back to me ASAP since I'm studying for my final exam.

This question is from textbook Algebra and Trigonometry with Analytic Geometry

Answer by ybalkas(3)   (Show Source): You can put this solution on YOUR website!
1) x^2 + 10x +25 , let k=25 then (x+5)^2
2) x^2 – 4x + 4-4+2 = 0 (add and subtract 4)then (x-2)^2-2=0 then (x-2)^2=2
(x-2)=+sqrt(2) or (x-2)=-sqrt(2)
x1=2+sqrt(2) or x2=2-sqrt(2)
3)x2 + 2x + 5 = 0? then x^2+2x+1+4= then (x+1)^2=-4 so no solutuin.
or check discriminant D= 2^2-4.5.1=-16
4)x+7/x=8 then x^2-8x+7=0 then (x-7)(x-1)=0 then x1=7 or x2=1
5)Solve the equation: x – 3 – sqrt x – 1 = 0?
x-3=sqrt(x-1) take square of both sides then x^2-6x+9=x-1 then x^2-7x+10=0 then factorize (x-2)(x-5)=0 x1=5 or x2=2 check both solutions then only 5 satisfies the original equation.
6)x + 2 – 2 sqrt x + 2 = 0? x+2=2 sqrt x + 2 then take square of both sides, x^2+4x+4=4(x+2) then x^2+4x+4=4x+8 then x^2=4 the x1=2 or x2=-2 check both solutions. If x1=2 then 4-2.2=0 satisfies x2=-2 also satisfies so solutions {2 ,-2}
7)2 <| x – 10 | < 3
then there are two conditions I) -3 the second condition 2< x-10 then x> 12 or 2 <-x+10 then
7
RELATED QUESTIONS

To whom it may concern, Is there any relation among the numbers 2, 4, 5, 7, 15, and 85 (answered by Edwin McCravy)
To whom it may concern: If this is not free, please don't answer my question. I greatly (answered by fcabanski)
Daniel deposits $8,000 into a continuously compounding interest account. After 18 years... (answered by Solver92311)
To Whom it may Concern, My name is Stephanie A. Thoma and i have been trying to... (answered by askmemath)
To whom may it concern, I have trouble to do this question. From a point at the... (answered by venugopalramana)
To whom may it concern, I have problems to do this question. An aerial mast is... (answered by Earlsdon)
To whom may it concern, I have this tricky question to solve. If x + 2y = -2 and x... (answered by tutorcecilia)
Tutor Please Help...This question is from a textbook and I keep getting different... (answered by Earlsdon,rapaljer)
Take any number (except for 1). Square that number and then subtract one. Divide by one... (answered by MathLover1,solver91311)