Question

iii. (x - 2)(x + 1) = (x - 1)(x + 3) check wheather quadractic equation are not​

Answer 1

Given Question:

(x - 2)(x + 1) = (x - 1)(x + 3) check whether it is quadratic equation or nor.

The quadratic equation of (x-2)(x+1)=(x-1)(x+3)

To solve:

With FOIL method.

Solution:

First, expand by using with FOIL method.

Foid Method

(A+ B) (C+D)= AC+ AD + BC + BD

$a = x$

$b = - 2$

$c = x$

$d = 1$

XX + X 1 +(-2) X +1 (-2) ×1

XX+ 1× X -2x -2 ×1

Solve:

Add similar elements.

1x - 2x =-1

XX - X -2×1

${x}^{2} = xx$

Multiply.

2 × 1 = 2

Then, rewrite the equation problem.

${x}^{2} - x - 2$

Expand.

(x-1)(x+3)

A=X

B=(-1)

C=X

D=3

$(x - 1)(x - 3) = {x}^{2} + 2x - 3$

Adding by 2 from both sides

${x}^{2} - x - 2 + 2 = {x}^{2} + 2x - 3 + 2$

Solve.

${x}^{2} - x = {x}^{2} + 2x - 1$

Then, you subtract by x²+2x from both sides.

${x}^{2} -x - ( {x}^{2} + 2x) = {x}^{2} + 2x - 1 - ( {x}^{2} + 2x)$

Solve.

$- 3x = 1$

Divide by -3 from both sides.

$\frac{ - 3x}{ - 3} = \frac{ - 1}{ - 3}$

Solve.

Change negative sign to positive sign.

$x = \frac{1}{3} = 0.33$

$= > x = \frac{1}{3} = 0.33$

It is not quadratic equation. So, the correct answer is x=1/3=0.33.