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Solving Quadratic Equations by Completing the Square

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Solve for X X^2=121   11,-11 or ±11  
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Solve For X (x+5)^2=36   1,-11 get the square root of both sides to get a positive and negative version of each problem then set=x  
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Solve for X X^2-5=0   ±√ 5 or -5,5  
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Add the proper Constant to create a perfect square trinomial x^2+21x+____   The constant term is 110.25 Take half of the coefficient of the x-term and square it.  
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Factor the Trinomial x^2+21x+110.25   (x+10.5)^2 Take half of the coefficient of the x term and get the square of half the coefficient and x.  
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Solve for X X^2+18X=-17   X=-17,-1  
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Find The interest Rate that Makes $200,000 grow to $208,080 in 2 years   The interest rate is 2% Use the Formula A=P(1+r)^t to solve. Substitute the amount before interest as P. The Years for t and the Amount after Interest for A.  
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How long would it take an object to fall from a 875 ft building, neglecting air resistance? Use s(t)=16t^2   7.40 seconds Substitute the height of the building for s to get 875t=16t^2  
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Add a Constant to make the Binomial a Perfect Square Trinomial n^2-6n+___   The Constant term to add is 9 Take half of the coefficient of the x-term and square it.  
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Solve the Equation by completing the Square y^2+2y+26=0   Y= -1±5i Subtract 26 from both sides find the constant, using 1/2 2 squared = 1 y^2+2y+1=-25 Factor the perfect square (y+1)^2=-25 get the square root y+1=±√ -25 Minus 1 y=-1±√ -25 Also remember that i should be used in place of √-1  
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Created by: sydneyorman
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