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# Module 16

### Solving Quadratic Equations by Completing the Square

Solve for X X^2=121 11,-11 or ±11
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
Solve for X X^2-5=0 ±√ 5 or -5,5
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.
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.
Solve for X X^2+18X=-17 X=-17,-1
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.
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
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.
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
Created by: sydneyorman