Question

check whether the following quadratic equation are not X + 1 into X + 2 equal to X - 3 into X + 1​

Answer 1

Quadratic Equation:

An equation of the form ax² + bx + c = 0.

Solving the given equation to check if its quadratic or not:

Using the identity:-

(x+a)(x+b) = x² +(a+b)x + ab.

(x+1)(x+2) = (x-3)(x+1).

x² + 3x + 2 = x² - 2x - 3.

x² - x² + 3x + 2x + 2 + 3 = 0.

5x + 5 = 0.

The equation which we formed is not of the form ax² + bx + c = 0 and thus isn't a quadratic equation.

Let's find the solution to the equation which we formed.

5x = - 5.

x = - 1.

This is another proof that the equation is not a quadratic equation as a quadratic equation has 2 roots/solutions but this equation has only 1 solution as this is a linear equation in 1 variable.

Therefore, the equation (x+1)(x+2) = (x-3)(x+1) is not a quadratic equation.

Answer 2

Answer

(x+1)(x+2) = (x-3)(x+1)

x² + 3x + 2 = x² - 2x - 3

x² - x² + 3x + 2x + 2 + 3 = 0

5x + 5 = 0

$(ax {}^{2} + bx +c = 0</p><p>$

$(5x = - 5) \\ </p><p>(x = - 1)$

linear equation

$(x+1)(x+2) = (x-3)(x+1) hence this is not quadratic$