Dictionary for Basic and Intermediate Algebra
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QUADRATICS EQUATIONS

A) Solving QE by factorization

1) Write the equation as wpe3.jpg (1245 bytes)

2) Factorize the left member

3) Use the fact that " a product can be zero only if at least one of the factor is zero", to get two linear equations.

4) Solve each linear equations to get the answer.

Example 1: Solve          wpe1.jpg (1189 bytes)

Sol.

wpe2.jpg (2423 bytes)

Answer: x = - 5 , x = 3

 

Example 2: Solve    wpe4.jpg (1807 bytes)

Sol.

wpe5.jpg (5922 bytes)

 Answer: x = - 7/2 , 1/5

B) Solving QE by formula

1) Write the equation as wpe3.jpg (1245 bytes)

2) Use the quadratic formula wpeC.jpg (1852 bytes)

3) Replace a,b and c by the given numbers

 

Example 3: Solve wpe8.jpg (1360 bytes)

Sol.

wpe9.jpg (9439 bytes)

Answer: x =- 3 , x = 2/5

 Example 4: Solvewpe6.jpg (1420 bytes)

Sol.

wpe7.jpg (12174 bytes)

Answer: x = - 4/15 , x = 3/10

 

 Example 5: Solve wpeA.jpg (1416 bytes)

Sol.

wpeB.jpg (9219 bytes)

Answer:

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NVCC Alexandria Campus Math Dictionary