Question

check whether they are quadratic equations x(2x + 3) = x² +1​

Answer 1

Given equation :

• x(2x+3) = x² + 1

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To check :

• whether the given equation is quadratic equation or not.

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Let's understand :

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We are given with a quadratic equation, We need to find whether the given equation is quadratic or not We've the symplify the equation, Then we'll check whether it is of quadratic equation form, As we know that, quadratic equation is of the form ax² + bx + c = 0, Then we can can conclude that is it a quadratic equation or not.

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According to the question,

So, let's check if it is in this form or not. :-

Eq :- x(2x+3) = x²+1

⇝ 2x² + 3x = x² + 1

⇝ 2x²-x² + 3x -1 = 0

⇝ x² + 3x -1 = 0

Thus, it is in the form ax² + bx+c = 0

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Therefore, it is a quadratic equation.

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⠀⠀⠀⠀⠀⠀⠀⠀⠀★ More information :

• Standard form of a quadratic equation is : a² + bc + x = 0, & a ≠ 0.

• Factoring an equation means to expand the equation and take out two/three common factors.

• Example - 6x² - 4x - 2 = 0