X^2 -6x +1 = 0
a=1
b = -6
c = 1
Use the quadratic formula
x = [-b +- sq root (b^2 -4ac)] / 2a
x = [--6 +- sq root (36 - 4)] / 2
x = [ 6 +- sq root (32)] / 2
sq root (32) = 5.657
x1 = [ 6 + 5.657] / 2
x1 = 11.657 / 2
x1 =
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5.8285
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x1 = 5.82 (to nearest tenth)
x2 = [ 6 - 5.657] / 2
x2 = .343 / 2
x2 = .1715
x2 = .2 (to nearest tenth)
Answer:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
Step-by-step explanation:
This is a quadratic equation, with coefficients 3, -5 and 1.
The discriminant, b² - 4ac, turns out to be (-5)² - 4(3)(1), or 25 - 12 = 13
Thus, the roots are:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
He moved 6 floors up, then moved 8 floors down. So he is now 2 floors below ground level.
I hope this helps.
