Question

4. Which of the following is a Quadratic Equation?
a. x + x2 = 2 b.P(P-1) = 0
c. x2 = 6 + x2-X d. x2 + 1/x = 5​

Answer 1

Answer:

f  α & β are the roots of

$$px2+qx+r=0$$

then

$$αβ=−qp$$

αβ=rp

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x2+ax+b=0−−−(1)

x2+cx+d=0−−−(2)

let the common root be α

for eqn(1)

α+α=−a

⇒α=−a2

& α2=b

for the eqn(2) let the second root be β

then

α+β=−c

αβ=d

⇒β=dα

∴α+dα=−c

α2+d=α(−c)

b+d=(−a2)(−c)

∴2(b+d)=ac as reqd.

Answer 2

option C is correct answer