Question

verify {x+1÷x}2=3(x+1÷x) +4 is a quadratic equation or not​

Answer 1

Thus, the roots of the given equation are

(ii) 2x2 + x – 4 = 0

Comparing the given equation with ax2 + bx + c = 0 we have:

a = 2

b = 1

c = –4

∴ b2 – 4ac = (1)2 – 4(2)(–4)

= 1 + 32

= 33 > 0

Since b2 – 4ac > 0

∴

equation has equal roots. The roots are given by

Since b2 – 4ac = 0

∴ The given equation has real roots, which are given by:

(iv) 2x2 + x + 4 = 0

Comparing the given equation with ax2 + bx + c = 0 we have:

a = 2

c = 4

∴ b2 –