[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)