Question

What is the Discriminant of the quadratic equation 3x² +8x+2=0
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Answer 1

Step-by-step explanation:

as ∆>0 the root are the roots are real and distinct

Answer 2

$\large \rm \red A \blue n \green {sw} \purple e \pink r:-$

$\rm \: comparing \: 3x² +8x+2=0$

$\rm \: with \: \: \: a {x}^{2} + bx + c = 0.$

$\sf \: we \: get \:$

$\sf \: a = 3,b = 8 \: and \: c \: = 2$

$\therefore \sf {b}^{2} - 4ac \: = {(8)}^{2} - 4 \times 3 \times 2$

$\longrightarrow \sf \: 64 - 12 \times 2$

$\longrightarrow \sf64 - 24$

$\therefore \sf \underline \red{\boxed{ \sf{b}^{2} - 4ac \: = 40}}$