"Which equations are incomplete quadratic equations? a)x2−4=0 b)x2−4x=0..." was answered by students like you

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Answered question

2021-09-07

Which equations are incomplete quadratic equations?

a) x^{2} - 4 = 0

b) x^{2} - 4 x = 0

c) 3 x^{2} = 2 x

d) 2 x^{2} - 4 = 2 x^{2} + 8 x

e) x^{2} = \frac{9}{4}

f) x^{2} - 2 x - 3 = 0

Answer & Explanation

Demi-Leigh Barrera

Skilled2021-09-08Added 97 answers

A Quadratic equation is an equation of the form $a x^{2} + b x + c = 0$ , if the coefficients either $b = 0$ or $c = 0$ then
it is called Incomplete Quadratic Equations.
$a) x^{2} - 4 = 0, h e r e b = 0,$ Incomplete quadratic equation.
$b) x^{2} - 4 x = 0, h e r e c = 0,$ Incomplete quadratic equation.
$c) 3 x^{2} = 2 x \Rightarrow 3 x^{2} - 2 x = 0, h e r e c = 0$ , Incomplete quadratic equation.
d) $2 x^{2} - 4 = 2 x^{2} + 8 x \Rightarrow 8 x + 4 = 0$ , here a=0, It is not a quadratic equation.
e) $x^{2} = \frac{9}{4} \Rightarrow 4 x^{2} - 9 = 0,$ here b=0, Incomplete quadratic equation.
f) $x^{2} - 2 x - 3 = 0, h e r e b \neq 0, c \neq 0,$ it is a complete quadratic equation.

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