Question

$\huge \mathfrak \green{Question}$​

Answer 1

Answer:

Question :-

The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is

(a) ±√6

(b) + 4

(c) ±3√2

(d) +2√6

Given :-

The equation 2x² + kx + 3 = 0 has two equal roots.

Find Out :-

The value of k.

Solution :-

➙ 2x² + kx + 3 = 0

where,

⊙ a = 2

⊙ b = k

⊙ c = 3

As we know that :

✫ $\red{ \boxed{\sf{Discriminate (D) =\: b^2 - 4ac}}}$ ✫

➠ b² - 4ac = 0

➠ (k)² - 4(2)(3) = 0

➠ k² - 8(3) = 0

➠ k² - 24 = 0

➠ k² = 24

➠ k = $\sf \sqrt{24}$

➠ ${\small{\bold{\purple{\underline{k =\: 2\sqrt{6}}}}}}$

Henceforth, the value of k is 2√6.

Correct options is (d) + 2√6.

~~~~~~~~~~~~~~~~~~~~~~~~

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Brainly\: Extra\: Shots :-} }}}$

☣Discriminate :-

The discriminant of a polynomial is a function of its coefficients which gives an idea about the nature of its roots.

The discriminant formula for the general quadratic equation is Discriminant, D = b² – 4ac.

☣ Nature Of Roots :-

The nature of roots are as follows:

☯ If discriminant > 0, then the roots are real and unequal

☯ If discriminant = 0, then the roots are real and equal

☯ If discriminant < 0, then the roots are not real (we get a complex solution)

Answer 2

Step-by-step explanation:

Answer:

Question :-

The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is

(a) ±√6

(b) + 4

(c) ±3√2

(d) +2√6

Given :-

The equation 2x² + kx + 3 = 0 has two equal roots.

Find Out :-

The value of k.

Solution :-

➙ 2x² + kx + 3 = 0

where,

⊙ a = 2

⊙ b = k

⊙ c = 3

As we know that :

✫ $\red{ \boxed{\sf{Discriminate (D) =\: b^2 - 4ac}}}$

✫

➠ b² - 4ac = 0

➠ (k)² - 4(2)(3) = 0

➠ k² - 8(3) = 0

➠ k² - 24 = 0

➠ k² = 24

➠ k = $\sf \sqrt{24}$

➠ ${\small{\bold{\purple{\underline{k =\: 2\sqrt{6}}}}}}$

Henceforth, the value of k is 2√6.

Correct options is (d) + 2√6.

~~~~~~~~~~~~~~~~~~~~~~~~

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Brainly\: Extra\: Shots :-} }}}$

☣Discriminate :-

The discriminant of a polynomial is a function of its coefficients which gives an idea about the nature of its roots.

The discriminant formula for the general quadratic equation is Discriminant, D = b² – 4ac.

☣ Nature Of Roots :-

The nature of roots are as follows:

☯ If discriminant > 0, then the roots are real and unequal

☯ If discriminant = 0, then the roots are real and equal

☯ If discriminant < 0, then the roots are not real (we get a complex solution)

Answer 3

Step-by-step explanation:

Answer:

Question :-

The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is

(a) ±√6

(b) + 4

(c) ±3√2

(d) +2√6

Given :-

The equation 2x² + kx + 3 = 0 has two equal roots.

Find Out :-

The value of k.

Solution :-

➙ 2x² + kx + 3 = 0

where,

⊙ a = 2

⊙ b = k

⊙ c = 3

As we know that :

✫ $\red{ \boxed{\sf{Discriminate (D) =\: b^2 - 4ac}}}$

✫

➠ b² - 4ac = 0

➠ (k)² - 4(2)(3) = 0

➠ k² - 8(3) = 0

➠ k² - 24 = 0

➠ k² = 24

➠ k = $\sf \sqrt{24}$

➠ ${\small{\bold{\purple{\underline{k =\: 2\sqrt{6}}}}}}$

Henceforth, the value of k is 2√6.

Correct options is (d) + 2√6.

~~~~~~~~~~~~~~~~~~~~~~~~

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Brainly\: Extra\: Shots :-} }}}$

☣Discriminate :-

The discriminant of a polynomial is a function of its coefficients which gives an idea about the nature of its roots.

The discriminant formula for the general quadratic equation is Discriminant, D = b² – 4ac.

☣ Nature Of Roots :-

The nature of roots are as follows:

☯ If discriminant > 0, then the roots are real and unequal

☯ If discriminant = 0, then the roots are real and equal

☯ If discriminant < 0, then the roots are not real (we get a complex solution)