Question 549053
Solve.
(p + 6)2 = 17
I think the 2 is an exponent.
{{{(p + 6)^2 = 17}}}
{{{p + 6 = sqrt(17)}}}
p = -6 ± sqrt(17)
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Solve.
6r2 + 24r = - 20
{{{6r^2 + 24r + 20 = 0}}}
*[invoke solve_quadratic_equation 6,24,20]
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r = -2 ± sqrt(6)/3
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Determine whether there is a maximum or minimum value for the given function, and find that value.
f(x) = x2 - 12x + 39 
The coefficient of the x^2 term is +, so it's a minimum.
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Line of Symmetry is x = -b/2a
x = 12/2 = 6
f(6) = 6^2 - 12*6 + 39 = 3
Minimum at (6,3)
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A ball is thrown downward from a window in a tall building. Its position at time t in seconds is where s is in feet. How long (to the nearest tenth) will it take the ball to fall.
No numbers given.
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Factor:
f(x) = x2 + 2x - 120
= (x-10)*(x+12)