Question

which of the following equation has equal roots a) x^2+6x+5=0 b) x^2-8x+16=0 c) 6x^2-x-2=0​

Answer 1

Step-by-step explanation:

The equation ax

2

+bx+c=0 has real roots if b

2

−4ac≥0.

For A, 4

2

−4×3×5=16−60<0

For B, 1

2

−4×1×1=1−4<0

For C,

(x−1)(2x−5)=0

i.e. 2x

2

−7x+5=0

⇒b

2

−4ac=49−40=9>0

Therefore, it has real roots

Hence, option C is correct.