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Let's say you want the standard form of the equation x2 + 10x + y + 20 = 0.
x2 + 10x + y + 20 = 0 (add 5 and subtract y to both sides)
x2 + 10x + 25 = -y + 5 (form the square to the left, and factor out -1 to the right)
(x + 5)2 = -(y - 5) which is in the standard form (x - h)2 = 4p(y - k), where (h, k) = (-5, 5) is the vertex, and 4p = -1 yields p = -1/4, so the parabola opens downward.
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How do i complete the square x squared plus 10x minus 13 equals 17 how do you complete the square x squared plus 10x minus 13 equals 17?
X2 + 10X - 13 = 17 add 13 to each side X2 + 10X = 30 halve the linear coefficient ( 10 ), square it and add it to both sides X2 + 10X + 25 = 30 + 25 factor on the left and gather terms on the right (X + 5)2 = 55 (X + 5)2 - 55 = 0 ---------------------------vertex form, (- 5, - 55 ), is the vertex -------------------------------------------[-------------------------------]
X2 10x 25?
This can be factored in multiple ways, depending on the signs. X2+10x+25 factors into (x+5)2 or (x+5)(x+5). X2-10x+25 factors into (x-5)2 or (x-5)(x-5). If 25 is being subtracted, then the trinomial is impossible to factor.
Factor x2 - 10x - 24?
(x + 2)(x - 12)
What are Quadratics?
Equations with an order of 2 (contains a value to the power of 2, i.e. x2). An example of a quadratic equation is: x2 + 10x + 7
What does the graph look like for this equation y x2 10x 25?
if y = x2 + 10x + 25 then y = (x + 5)2 This tells us that the graph would be a parabola, with it's vertex at (-5, 0), and a range of 0 to infinity.
