Chapter Fourteen — Quadratic Equations and Inequalities
The Humongous Book of Algebra Problems
310
Multiply the x-coefficient by and square the result: .
Add to both sides of the equation.
Factor the perfect square and solve for x.
The problem states that a > 0, so the absolute value bars may be omitted: .
This value
(half of the x-
coefcient) goes
inside the factored
form of the perfect
square.
Chapter Fourteen — Quadratic Equations and Inequalities
The Humongous Book of Algebra Problems
311
14.28 Solve the equation for x: .
Square both sides of the equation in an attempt to eliminate the radical
expressions.
Isolate the radical expression right of the equal sign by subtracting x and 11
from both sides of the equation.
Square both sides of the equation to eliminate the radical expression.
Subtract 36x and 72 from both sides of the equation so that the right side of the
equation is equal to 0.
Divide each term of the equation by 9.
does NOT equal
. Use the
FOIL method to multiply
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