Nota Terkini

Wednesday, April 08, 2009

[Mathematic Form 4] A Quadratic Equation In General Form

A QUADRATIC equation with one unknown has an equal sign and the highest power of the unknown is 2.

A quadratic equation in general form is presented thus: aX2 + bx + c = 0

The following are quadratic equations that are not in general form:
i) x(x + 7) = 17
ii) (x - 5) (x + 3) = 8
iii) 7/x = 9 + x

To rewrite them in general form, you may have to follow some or all of the following steps.

i)
x(x + 7) = 17
X2 + 7x = 17
X2 + 7x - 17 = 0 (general form)

ii)

(x - 5) (x + 3) = 8

X2 + 3x - 5x - 15 = 8
X2 - 2x - 15 - 8 = 0
X2 - 2x - 23 = 0 (general form)

iii)
7/x = 9 + x
7 = x(9 + x)
7 = 9x + X2
X2 + 9x - 7 = 0 (general form)

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