Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Which of the following is not a quadratic equation? a)(x−2)2+1=2x−3 b)x(x+1)+8=(x−2)(x−2) c)x(2x+3)=x2+1 d)(x−2)3=x3−4

Which of the following is not a quadratic equation?
a)(x−2)2+1=2x−3

b)x(x+1)+8=(x−2)(x−2)

c)x(2x+3)=x2+1

d)(x−2)3=x3−4

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 9723 Points
19 days ago
Hint: A quadratic equation is any equation that can be rearranged in standard form as ax2+bx+c=0 , where x represents an unknown, and a, b, and c represent known numbers, and a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no x2 term. The numbers a, b, and c are the coefficients of the equation and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term. Complete step-by-step answer: We will check every option for the non-quadratic equation. The equation which is not in the form of the standard 2-degree equation ax2+bx+c=0 where a≠0 are not a quadratic equation. Option a: Given, (x−2)2+1=2x−3. ⇒x2−4x+4+1=2x−3. ⇒x2−4x+5=2x−3. ⇒x2−6x+8=0. Therefore, option a is a quadratic equation. Option b: Given, x(x+1)+8=(x−2)(x−2) ⇒x2+x+8=x2−4x+4 ⇒5x+4=0 Here, the coefficient of x2 is zero. Therefore, the equation is a linear equation. Hence, Option b is not a quadratic equation. Option c: Given, x(2x+3)=x2+1 ⇒2x2+3x=x2+1 ⇒x2+3x−1=0 Therefore, option c is a quadratic equation. Option d: Given, (x−2)3=x3−4 ⇒x3+6x2−12x−8=x3−4 ⇒6x2−12x−4=0 Therefore, option d is a quadratic equation. Therefore, the correct option is option(b). Note: Don’t get confused that in option (b) , the LHS has a quadratic coefficient which is not equal to zero, because the RHS also has a second-degree term with the same quadratic coefficient. The second-degree term will cancel out and will leave a linear equation. Hence, it will not be a quadratic equation.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free