Question

find discriminant of following quadratic equation 6x²+x-2=0​

Answer 1

Discriminant (D) = b² - 4ac, where,

b = coefficient of x ; a = coefficient of x²

c = constant term

here, in the given equation,

6x²+x-2=0

b = 1 ; a = 6 ; c = -2

Thus, D = b² - 4ac

=> D = 1² - [4 × 6 × (-2)]

= 1 - ( -48)

= 1 + 48 = 49

Answer 2

Given

• Equation ⟹ 6x² + x - 2 = 0

To find

• Discriminant of the equation.

Solution

★ Discriminant

⠀

$\large{\underline{\boxed{\tt{D = b^2 - 4ac}}}}$

⠀

$\begin{lgathered}\begin{lgathered}\begin{lgathered}\tt {\pink{Here}}\begin{cases} \sf{\green{a = 6}}\\ \sf{\blue{b = 1}}\\ \sf{\orange{c = -2}}\end{cases}\end{lgathered} \:\end{lgathered}\end{lgathered}$

⠀

$\tt:\implies\: \: \: \: \: \:{D = (1)^2 - 4(6)(-2)}$

⠀

$\tt:\implies\: \: \: \: \: \:{D = 1 - (-48)}$

⠀

$\tt:\implies\: \: \: \: \: \:{D = 1 + 48}$

⠀

$\tt:\implies\: \: \: \: \: \:{\underline{\boxed{\orange{D = 49}}}}$

Hence, the discriminant (D) of the above equation is 49.

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✈ Extra shots

$\large{\underline{\mathcal{Discriminant}}}$

⇝ The discriminant is the part of the quadratic formula underneath the square root symbol:b² - 4ac.

⇝ The discriminant tells us whether there are two solutions, one solution, or no solutions.

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