ALG Unit 10 Solving Quadratics Notes

1 ALGEBRA UNIT 10- Solving quadratic EQUATIONS Solving Quadratics BY FACTORING (DAY 1) HOW TO SOLVE quadratic EQUATIONS: Step 1: Write equation in Standard Form. Step 2: Factor the quadratic equation. Step 3: After the problem has been factored we will complete a step called the T chart. Create a T separating the two ( ). Step 4: Once ( ) are separated, set each ( ) = to 0 and solve for the variable. Step 5: Check each of the roots in the ORIGINAL quadratic equation. 1. Find the roots: 035r12r2 2. Solve for y: 024y11y2 3. Find the zeroes: 06x5x2 4. Solve for y: 28y3y2 quadratic Equation (Standard Form): 2 5. Find the roots: 30xx2 6. Find the zeros: 35w52 7. A plot of land for sale has a width of x ft., and a length that is 8ft less than its width. A farmer will only purchase the land if it measures 240 square feet.

by completing the square Completing the square and factoring are not always the best method to use when solving a quadratic as illustrated above. To remember formula sing/hum the phase below to the “pop goes the weasel song” “x =’s negative b, plus or minus the square root, of b2 minus 4 a c, all over 2 a”

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  Square, Solving, Quadratic, Root, Square roots, Solving quadratic

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