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Quadratic Equation

Find the valu...

Question

Find the value of 𝒌 for which the equation $x^{2} + k (2 x + k - 1) + 2 = 0$ has real and equal roots.

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Solution

Ans: Option(b) 2

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Similar questions

Q. For what value of 𝒌, the quadratic equation

x^{2} - k x + 4 = 0

has equal roots?

Q. Find the value of 𝒌 for which (𝒙 + 𝟐) is a factor of

f (x) = (x + 1)^{7} + (2 x + k)^{3}

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Q. If 𝒙 = 𝟐, 𝒚 = −𝟐 is a solution of the linear equation 3𝒙 − 𝟐𝒚 = 𝒌, then what is the value of 𝒌?

Q. If 𝜶 and 𝜷 are the zeroes of the polynomial 𝒑(𝒙)=

2 x^{2} + 5 x + k

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\frac{21}{4}

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Q. Mark the correct choice.
Assertion(A): For all values of 𝑘, (−𝟑/𝟐, 𝒌) is a solution of the linear equation 𝟐𝒙 + 𝟑 = 𝟎.
Reason(R): The linear equation 𝒂𝒙 + 𝒃 = 𝟎 can be expressed as a linear equation in two variables as 𝒂𝒙 + 𝒚 + 𝒃 = 𝟎.

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