Question

Check whether the following are quadratic equations:

(1) x2 – 2x = (–2) (3 – x)

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Answer 1

Answer: yes it is a quadratic equation x^2 - 4x + 6 = 0

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Answer 2

Question :-

Check whether the following are quadratic equations:

(1) x² - 2x = (-2) (3 - x)

Solution :-

Given, x² - 2x = (-2) (3 - x)

⟶ x² - 2x = -6 + 2x

⟶ x² - 2x + 6 - 2x = 0

⟶ x² - 4x + 6 = 0

The above equation is in the form of ax² + bx + c = 0.

Therefore,

The given equation is quadratic equation.

For information :-

Nature of roots,

• D > 0, roots are real and distinct (unequal).
• D = 0, roots are real and equal (coincident).

• D < 0, roots are imaginary and unequal.