Mathematics, 14.09.2020 01:01 rafi10

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

Answers: 2

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   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

Answer from: Quest

1. 16.64

a^2+b^2=c^2

pr^2=pq^2+qr^2

pr^2=14^2+ 9^2

pr^2=196+81

pr= sqr root of 277

16.64

2. 11.31

c^2-a^2=b^2

18^2- 14^2=b^2

b^2=324-196

b=sqr root of 126

b=11.31

hope it ! (btw im in connections academy to, good luck! )

Look at the picture of a scaffold used to support construction workers. the height of the scaffold c

Answer from: Quest

They lost twenty games

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