Question

Find the discriminant of the following equation:
x2+5x-6​

Answer 1

b^2 - 4ac

= 5^2 - 4 × 1 × (-6)

= 25 + 24

= 49

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Answer 2

$\sf f(x) = {x}^{2} + 5x - 6$

Therefore,

$\sf discriminant [f(x),x] = {5}^{2} - 4( - 6)$

$\underline{\triangle _{x} = 49 > 0}$

Therefore, we can furthermore conclude that:

$\sf for \: f(x) = 0 \\ \exist \sf \: \: \: x _{1,2} \in \real \: \: : x_1 ≠ x_2$