if the equation ax 2 + bx + c = 0 does not have 2 distinct real roots and a + b c, then prove that f(x) =0, for all view x belongs to R.

Question

if the equation ax 2 + bx + c = 0 does not have 2 distinct real roots and a + b > c, then prove that f(x) >=0, for all view x belongs to R.

Vikas TU · Answer

if the equation ax 2 + bx + c = 0 does not have 2 distinct real roots then its D b^2 – 4ac b^2 for the condition to b true, a and c should both be positive or both should be negative. But as we know for f(x) >=0 only the condition holds for true is: a>0 and c >0. hence, f(x) >=0

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if the equation ax 2 + bx + c = 0 does not have 2 distinct real roots and a + b > c, then prove that f(x) >=0, for all view x belongs to R.

if the equation ax²+ bx + c = 0 does not have 2 distinct real roots and a + b > c, then prove that f(x) >=0, for all view x belongs to R.

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if the equation ax 2 + bx + c = 0 does not have 2 distinct real roots and a + b > c, then prove that f(x) >=0, for all view x belongs to R.

if the equation ax2+ bx + c = 0 does not have 2 distinct real roots and a + b > c, then prove that f(x) >=0, for all view x belongs to R.

1 Answers

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Other Related Questions on Algebra

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if the equation ax²+ bx + c = 0 does not have 2 distinct real roots and a + b > c, then prove that f(x) >=0, for all view x belongs to R.