You only need to find the vertex of a parabola, so I assume this is the equation.
Y = X^2 - 10X + 25
set to 0
X^2 - 10X + 25 = 0
now, you need to complete the square. Halve the linear term (-10), square it and add that to both sides. subtract 25 from each side to start
X^2 - 10X = - 25
X^2 - 10X + 25 = - 25 + 25
factor left; gather like terms right
(X - 5)^2 = 0
Vertex
(5,0)
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Some calculators have a "x10x" button.
Ratio is 5:6, so Let x=the first number, and then 2x-16 = the second number.5/6 = x over (2x-16) : do cross multiplication5*(2x-16) = 6*x10x-80=6x (combine like terms, in this case, the variable x, by subtracting 10x on both sides)-80 = 6x-10 =-4x-80=-4x (to get x by itself, divide negative 4 on both sides)20 = x (negative divided by a negative equals a positive #)2x-16 = 2(20)-16 = 40-16 = 24The first # is equals 20 and the second # is equals 24, 20 to 24 is equals to ratio 5:6.
Period = 1/FrequencySo if we set Frequency = x THEN:10 = 1/x10x = 1x = 1/10IF Period of a Wave is 10 Seconds THEN The Frequency =1/10 or .10
The answer depends on your calculator but many have shortcut keys for "x10x" or something similar.