Question

. If the zeroes of the quadratic polynomial x2

+ bx + c , c ≠ 0are equal, then​

Answer 1

Answer:

HERE IS UR ANSWER MATE

The zeroes of the given quadratic polynomial ax2+bx+c,c≠0 are equal. If coefficient of x2 and constant term have the same sign i.e., c and a have the same sign. While b i.e., coefficient of x can be positive/negative but not zero.

e.g., (i) x2+4x+4=0 (ii)x2−4x+4=0

⇒(x+2)2=0 ⇒(x−2)2=0

⇒x=−2,−2 rARrx=2,2

Alternative Method

Given that, the zeroes of the quadratic polynomial ax2+bx+c, where ≠0, are equal i.e., discrinminant (D)=6

⇒b2−4ac=0

⇒b2=4ac

⇒ac=b24

⇒ac>0

Which is only possible when a and c have the same signs.

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Step-by-step explanation: