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rei2018
rei2018 rei2018
  • 03-02-2017
  • Mathematics
Answered

What are the roots of the equation: X^2 - 10x -20 =20

  1. 10±6√5
  2. -10±6√5
  3. 5±3√5
  4. -5±3√5

Please explain and show work!

Thanks A Bunch!

Verified Answer :

wolf1728
wolf1728 wolf1728
  • 03-02-2017

a = 1  b = -10  c = -20
Using the quadratic formula,
x = [--10 +-sqr root (100 -41-20)] / 21
x = [10 +- sqr root (180)] / 2
x = 10/2 +- (sqr root (180) / 2)
x = 5 +- (3 sqr root (20) / 2)
x = 5 +- (6 sqr root (5) / 2)
x = 5 +- 3 sqr root (5)

So the answer is #3

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