Question

If -1/2
is one root of quadratic equation 2x² + kx+1 =0, find k.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

EXPLANATION.

One roots of quadratic equation.

⇒ 2x² + kx + 1 = 0  is  - 1/2.

As we know that,

Put the value of x = - 1/2 in the equation, we get.

⇒ 2(-1/2)² + k(-1/2) + 1 = 0.

⇒ 2(1/4) - k/2 + 1 = 0.

⇒ 1/2 - k/2 + 1 = 0.

⇒ (1 - k + 2)/2 = 0.

⇒ 1 - k + 2 = 0.

⇒ 3 - k = 0.

⇒ k = 3.

                                                                                                                       

MORE INFORMATION.

Conjugate roots.

(1) = If D < 0.

One roots = α + iβ.

Other roots = α - iβ.

(2) = If D > 0.

One roots = α + √β.

Other roots = α - √β.