Question

3y^2-14y+8=0 : find the value of discriminant ?
a) 196
b) 96
c) 100
d) 292​

Answer 1

$\large\begin{gathered} {\underline{{ \sf {\orange{\Large\bf \underbrace{ {\rm {\purple{ 3 {y}^{2} \: - \: 14y \: + \: 8 }}}} }}}}}\end{gathered}$

For a quadratic equation of the form ax²+bx+c=0, the expression b² − 4ac is called the discriminant, (denoted by D).

$\large\begin{gathered} {\underline{\boxed{ \rm {\red{D = b² - 4ac}}}}}\end{gathered}$

• b denotes coefficient of y
• a denotes coefficient of y²
• c denotes constant

b = -14

a = 3

c = 8

Solution :

$\tt \large \green\implies \: {( - 14)}^{2} \: - \: 4 \: (3) \: (8) \\ \\\tt \large \green\implies \:196 \: - \: 96 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt \large \green\implies \:100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hence , option C is the correct answer.