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Anestetic [448]
3 years ago
5

Explain why 3x^2+kx-1 is never always positive for any value of k

Mathematics
1 answer:
lianna [129]3 years ago
8 0
Hello : 
<span>(3x²+kx-1) is a quadratic polynome when : a =3  , b=k , c= -1
the discriminat  </span>Δ = b²-4ac ≥ 0 because ac = -3 <span><<span> 0
-4ac </span></span>>0  and b²<span>≥0
the </span> quadratic polynome has :2 solutios or 1 solution (Change of sign)
conclusion :   <span>is never always positive for any value of k</span>
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