Question

if the equation
${ax}^{2} + 2x + a = 0$
hastwo equal roots then
a)1 b)a=0 c)a=0,1 d)a=-1,0
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Answer 1

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If the equation

${ax}^{2} + 2x + a = 0$

hastwo equal roots then ,

Sum of roots :

: x + x = -2/a

: 2x = -2/a

: x = -1/a

ALSO

Product of roots : x × x = 1/a

: -1/a × -1/a = 1/a

: 1/a = 1

: a = 1

Therefore roots of the equation

${ax}^{2} + 2x + a = 0$

are a = 1 & 1.

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Answer 2

Answer:

If the equation

ax^{2} + 2x + a = 0ax

2 +2x+a=0

hastwo equal roots then ,

Sum of roots :

: x + x = -2/a

: 2x = -2/a

: x = -1/a

ALSO

Product of roots : x × x = 1/a

: -1/a × -1/a = 1/a

: 1/a = 1

: a = 1

Therefore roots of the equation

{ax}^{2} + 2x + a = 0ax

2

+2x+a=0

are a = 1 & 1.