x^2+(3x-9)^2=(2x+1)^2

Question

13-04-2015
Mathematics

Answered

x^2+(3x-9)^2=(2x+1)^2

Answer :

Other Questions

Which of the following was NOT a cause of the Spanish American War? A. The Cuban Missle Crisis B. Yellow Journalism C. The Sinking of the Maine D. American

Which of these sentences contains a coordinate conjunction? A. Astronauts bounce about from wall to wall, flying! B. Weightlessness can sometimes be downright u

why did americans want george whachington to be president

In which situation is the object experiencing balanced forces? A) A girl swings on a swing at the playground. B) A car brakes as it approaches a traffic light.

156/24 and 102/15 both have a quotient of 6 and a remainder of 12. a. Are the division expressions to each other? Use your knowledge of decimal division to just

The general process in which molecules move from an area of higher concentration to an area of lower concentration is called ____________. A. osmosis B. diffusi

celeste hiked 1.8 miles in 0.75 hour what is her average speed

What is 121.06 in expanded form

A drawer has some red, green, and blue marbles. There are 33 marbles in all. Thete are 4 times as many red marbles as green marbles. There are half as many blu

One trait a plant can have is either red leaves (R) or brown leaves (r). Another trait is tall stems (T) or short stems (t). A plant used in a dihybrid cross ha

Panoyin Panoyin · Answer 1 · 2015-04-13T23:00:24-04:00

   x² + (3x - 9)² = (2x + 1)²
   x² + (3x - 9)(3x - 9) = (2x + 1)(2x + 1)
x² + (9x² - 27x - 27x + 81) = (4x² + 2x + 2x + 1)
   x² + (9x² - 54x + 81) = 4x² + 4x + 1
   (x² + 9x²) - 54x + 81 = 4x² + 4x + 1
      10x² - 54x + 81 = 4x² + 4x + 1
      - 4x²    - 4x²
      6x² - 54x + 81 = 4x + 1
   + 54x     + 54x
       6x² + 81 = 58x + 1
   -    1 - 1
   6x² + 80 = 58x
      6x² - 58x + 80 = 0
         x = -(-58) +/-√((-58)² - 4(6)(80)
      2(6)
   x = 58 +/- √(3364 - 1920)
      12
   x = 58 +/- √(1444)
      12
   x = 58 +/- 38
       12
   x = 58 + 38 x = 58 - 38
   12 12
   x = 96 x = 20
   12 12
   x = 6     x ≈ 1.67