Question

Prove that 4/x^2 + 1/x - 5 = 0 is a quadratic equation

Answer 1

Answer:

Question



Check whether the following are quadratic equations :

(i) (x+1)2=2(x−3)

(ii) x2−2x=(−2)(3−x)

(iii) (x−2)(x+1)=(x−1)(x+3)

(iv) (x−3)(2x+1)=x(x+5)

(v) (2x−1)(x−3)=(x+5)(x−1)

(vi) x2+3x+1=(x−2)2

(vii) (x+2)3=2x(x2−1)

(viii) x3−4x2−x+1=(x−2)3

Medium

Solution



i) 

(x+1)2=2(x−3) 

x2+2x+1=2x−6

x2+7=0   → Quadratic

ii) 

x2−2x=−2(3−x)

x2−2x=−6+2x