Question

Solve: (a-b)x*2-(a+b)x+2b=0

Answer 1

$\large\underline{\bold{Solution-}}$

$\rm :\longmapsto\: (a - b){x}^{2} - (a + b)x + 2b = 0$

$\rm :\longmapsto\: (a - b){x}^{2} - (a - b+ 2b)x + 2b = 0$

$\rm :\longmapsto\: (a - b){x}^{2} - (a - b)x - 2bx+ 2b = 0$

$\rm :\longmapsto\:(a - b)x(x - 1) - 2b(x - 1) = 0$

$\rm :\implies\:(x - 1)\bigg((a - b)x - 2b \bigg) = 0$

$\rm :\implies \boxed{ \bf\:x = 1 \: \: \: or \: x \: = \: \dfrac{2b}{a - b} }$

Explore more :-

Question - What is quadratic equation?

• A quadratic equation is an equation of highest degree 2. Moreover, standard quadratic equation is ax² + bx + c, where a, b, and c are real numbers or arbitrary constants and ‘a’ cannot be 0. An example of quadratic equation is x² + x + 1.

Question : Name of different method by which you can solve quadratic equation?

• There are various methods by which you can solve a quadratic equation:

• Factorization

• Completing the square

• Quadratic formula

• Plot the graph.

Answer 2

Answer:

go through the pic carefully amd hope u can understand...