X 2-2 x -1-3- x 2-3 represents a quadratic equation-A- TrueB- False-

The correct option is A True Given that, x^2+2x+1 = (3 + x)^2+3 ⇒ x^2+2x+1 = 9+x^2+6x+3 ⇒ 4x+11=0 which is not of the form ax^2+bx+c, a ≠ 0. Thus, the equatio ...

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Standard X

Mathematics

Framing Second Degree Equations

x 2+2 x +1=3+...

Question

$x^{2} + 2 x + 1 = (3 + x)^{2} + 3$ represents a quadratic equation.

True

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False.

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Solution

The correct option is A
True

Given that, $x^{2} + 2 x + 1 = (3 + x)^{2} + 3$
$\Rightarrow x^{2} + 2 x + 1 = 9 + x^{2} + 6 x + 3 \Rightarrow 4 x + 11 = 0$
which is not of the form $a x^{2} + b x + c, a \neq 0$ . Thus, the equation is not a quadratic equation. Hence, the above Statement is False.

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x2+2x+1=(3+x)2+3 represents a quadratic equation.

The correct option is A True Given that, x2+2x+1=(3+x)2+3 ⇒x2+2x+1=9+x2+6x+3⇒4x+11=0 which is not of the form ax2+bx+c,a≠0. Thus, the equation is not a quadratic equation. Hence, the above Statement is False.

$x^{2} + 2 x + 1 = (3 + x)^{2} + 3$ represents a quadratic equation.

The correct option is A
True

Given that, $x^{2} + 2 x + 1 = (3 + x)^{2} + 3$
$\Rightarrow x^{2} + 2 x + 1 = 9 + x^{2} + 6 x + 3 \Rightarrow 4 x + 11 = 0$
which is not of the form $a x^{2} + b x + c, a \neq 0$ . Thus, the equation is not a quadratic equation. Hence, the above Statement is False.