Question

Which of the following are quadratic equations?
(vii)3x²-5x+9=x²-7x+3
(viii)$x+\frac{1}{x}=1$
(ix)x²-3x=0

Answer 1

SOLUTION  :

(vii) Given : 3x² - 5x + 9 = x² - 7x +3

3x² - x² - 5x + 7x + 9 - 3= 0

2x² + 2x + 6 = 0

2(x² + x + 3) = 0

x² + x + 3 = 0

It is of the form ax² + bx + c = 0, a ≠ 0,where a = 1 , b = 1 , c = 3

Hence, the above given equation represents a quadratic equation.

(Viii) Given : x + 1/x = 1

(x² + 1)/x = 1

x² + 1 = x  

x² - x + 1 = 0

It is of the form ax² + bx + c = 0, a ≠ 0,where a = 1 , b = - 1 , c = 1

Hence, the above given equation represents a quadratic equation.

(ix) Given : x² - 3x = 0

It is of the form ax² + bx + c = 0, a ≠ 0,where a = 1 , b = - 3 , c = 0

Hence, the above given equation represents a quadratic equation.

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

The all Equations Are Quadratic......


1. 3x²-5x+9=x²-7x+3

3x²-x²-5x+7x+9-3= 0

2x²+2x+6 = 0

So, it is a Quadratic Equation.


2. x-(1/X)=1

By LCM,

x²-1=1x

x²-1x-1= 0

So, it is a Quadratic Equation.


3. x²-3x= 0

Here,

It is also a Quadratic Equation.



So,

These all are Quadratic Equations.......


Hope it helps You......


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