Question

The curve, C has equation y = 2x^2 +5x + k.
The minimum of C is -3/4.
Find the value of k.

Answer 1

Answer:

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Step-by-step explanation:

y cut the x -axis if and only if exists x0 such that 2x20+5x0+k=0. This x0 exists if and only if Δ≥0.

Δ=52–4(2)(k)

Δ=25–8k

Delta need to be negative.

Δ<0

25–8k<0

25<8k

258<k