The following equation is quadratic- x2-2 x-1-4-x2-3A- TrueB- False

The correct option is B False Given that, x^2+2x+1 = (4 x)^2+3 ⇒ x^2+2x+1 = 16+x^2 8x+3 ⇒ 10x 18=0 which is not of the form ax^2+bx+c, a ≠ 0. Thus, the equati ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Framing Second Degree Equations

The following...

Question

The following equation is quadratic.
$x^{2} + 2 x + 1 = (4 - x)^{2} + 3$

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B
False

Given that, $x^{2} + 2 x + 1 = (4 - x)^{2} + 3$
$\Rightarrow x^{2} + 2 x + 1 = 16 + x^{2} - 8 x + 3 \Rightarrow 10 x - 18 = 0$
which is not of the form $a x^{2} + b x + c, a \neq 0$ . Thus, the equation is not a quadratic equation.

Suggest Corrections

Similar questions

Q. Check whether the following are quadratic equation:

x^{2} + 2 x + 1 = (4 - x)^{2} + 3

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

The following equation is a quadratic equation.
$2 x - x^{2} = x^{2} + 5$

Q. Check whether the following is quadratic equation.

x^{2} - 2 x = (- 2) (3 - x)

A quadratic equation $y = x^{2} + 2 x + 6$ does not have a real solution. State whether the statement is true or false.

Join BYJU'S Learning Program

The following equation is quadratic. x2+2x+1=(4−x)2+3

The correct option is B False Given that, x2+2x+1=(4−x)2+3 ⇒x2+2x+1=16+x2−8x+3⇒10x−18=0 which is not of the form ax2+bx+c,a≠0. Thus, the equation is not a quadratic equation.

The following equation is quadratic.
$x^{2} + 2 x + 1 = (4 - x)^{2} + 3$

The correct option is B
False

Given that, $x^{2} + 2 x + 1 = (4 - x)^{2} + 3$
$\Rightarrow x^{2} + 2 x + 1 = 16 + x^{2} - 8 x + 3 \Rightarrow 10 x - 18 = 0$
which is not of the form $a x^{2} + b x + c, a \neq 0$ . Thus, the equation is not a quadratic equation.