If a, b, c, are real numbers such that ?(b^2-4ac) =0 which of the following stat

Question

If a, b, c, are real numbers such that ?(b^2-4ac) =0 which of the following statements about the roots of the equation ax2 +bx +c =0, where a? 0, must be true? Explain your answer. The equation has two distinct real roots The equation has two distinct nonreal roots The equation has one real root The equation has one nonreal root

Explanation / Answer

If a and b are positive real numbers and each of the equations x^2+ax+2b = 0 and x^2+2bx+a = 0 has real roots, then what can be said about a and b?each of the equations x^2+ax+2b = 0 and x^2+2bx+a = 0 has real roots,so discriminant is > 0 thusa^2 - 4*2b > 0a^2 - 8b >0a^2 > 8b and (2b)^2 -4 a > 0b^2 - a > 0b^2 > ab^4 > a^2 > 8bb^4 - 8b > 0b^3-8 > 0 or b > 0 (b-2) (b^2+b+2) > 0b> 2a and b both are +ve numbers

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