Solving Quadratic Equations

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Solving Quadratic Equations

Example

Solve the Following Quadratic Equation

3x2

– 8x + 2 = 0

{Remember

the Standard Quadratic Formula : ax2 + bx + c = 0 }

Where

A = 3

B = -8

C = 2

{ The

Quadratic Formula}

-b {+-} (b2-4ac)

------------------------------------

2a

Therefore

the solutions would be

8{+-} (-82-4(3x2))

-----------------------------------

2(3)

X = 2.39 , 0.28

We could however solve this graphically

3x2

– 8x + 2 = 0

[Make

y the Subject]

3x2

– 8x + 2 = y

[Create

Table Of Values]

X

Y

-3

53

-2

30

-1

13

0

2

1

-3

2

-2

3

5

The Intersection Points are the two solutions.

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