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If a, b, c in R and the quadratic eq...

If ` a, b, c in R ` and the quadratic equation ` x^2 + (a + b) x + c = 0 ` has no real roots then

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Statement -1 : The quadratic equation ax^(2)+bx+c=0 has real roots if (a+c)^(2) gt b^(2) , AA , a,b,c in R . and Statement -2 : The quadratic equation ax^(2) +bx+c=0 has real roots if b^(2) -4ac ge 0