Question

(2x – 1)(x – 3) = (x + 5)(x - 1)​

Answer 1

Answer:

Step-by-step explanation:

We know that the general form of quadratic equation is ax  

2

+bx+c=0.

The given equation is (2x−1)(x−3)=(x+5)(x−1) can be simplified as follows:  

(2x−1)(x−3)=(x+5)(x−1)

⇒2x(x−3)−1(x−3)=x(x−1)+5(x−1)

⇒2x  

2

−6x−x+3=x  

2

−x+5x−5

⇒2x  

2

−7x+3=x  

2

+4x−5

⇒2x  

2

−7x+3−x  

2

−4x+5=0

⇒x  

2

−11x+8=0

Since the equation x  

2

−11x+8=0 is of the form ax  

2

+bx+c=0.

Hence, the equation (2x−1)(x−3)=(x+5)(x−1) is a quadratic equation.