Question

Find the discriminant of the given equation
${3x}^{2} - 10x + 3 = 0$
​

Answer 1

Given :

• 3x²-10x+3 =0

To find :

• Discriminant of the quadratic equation

Formula used :

$\sf D = {b}^{2} - 4ac$

Where :-

• D = discriminant

• a = coefficient of x²

• b = coefficient of x

• c = constant term

Solution :

We have to find out discriminant of the given quadratic equation 3x²-10x+3 =0.

$\sf \longrightarrow D = {b}^{2} - 4ac$

Now put :-

• b = 10

• a = 3

• c = 3

$\sf \longrightarrow D = {(10)}^{2} - 4(3)(3)$

We know that :- (10)² = 10×20 = 100

$\sf \longrightarrow D = 100 - (4 \times {3}^{2} )$

$\sf \longrightarrow D = 100 - (4 \times 9)$

$\sf \longrightarrow D = 100 - 36$

$\sf \longrightarrow D = 64$

Answer :

• discriminant of the given quadratic equation[ 3x²-10x+3 =0] = 64

Answer 2

$\huge{\boxed{\rm{Question}}}$

Find the discriminant of the given equation 3x² - 10x + 3 = 0

$\huge{\boxed{\rm{Answer}}}$

$\large{\boxed{\boxed{\sf{Given \: that}}}}$

• Equation = 3x² - 10x + 3 = 0

$\large{\boxed{\boxed{\sf{To \: find}}}}$

• Discriminant of equation = 3x² - 10x + 3 = 0

$\large{\boxed{\boxed{\sf{Solution}}}}$

• Discriminant = 64

$\large{\boxed{\boxed{\sf{Formula \: used \: in \: the \: question}}}}$

✄ ᴅ = b² - 4ac

$\large{\boxed{\boxed{\sf{Where \: the \: values \: means}}}}$

✄ D = b² - 4ac

☛ D means discriminant

☛ b means coefficient of x

☛ a means coefficient of x²

☛ c means constant terms

$\large{\boxed{\boxed{\sf{What \: does \: the \: question \: says}}}}$

$\large{\boxed{\boxed{\sf{Let's \: understand \: the \: question \: firstly}}}}$

• This question says that it have a given equation 3x² - 10x + 3 = 0. After that is asked to find the discriminant of the equation.

$\large{\boxed{\boxed{\sf{Procedure \: is \: given \: below}}}}$

• Firstly to solve this question we have to know the formula nd we know it the formula is “ D = b² - 4ac ” . Now according to this formula we have to put the values. At last we get our final result that is 64.

$\large{\boxed{\boxed{\sf{Full \: solution}}}}$

❝ Now putting the values according to formula we get the following results ❞

❝ We have to put following terms in the place of D = b² - 4ac ❞

☛ 10 in the place of b

☛ 3 in the place of a

☛ 3 in the place of c

❝ Putting the values we get ❞

➯ D = (10)² - 4 ( 3 × 3 )

➯ D = 100 - 4 ( 9 )

➯ D = 100 - 36

➯ D = 64

Hence, D = 64

Discriminant = 64

_________________________

Final answer is 64

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