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Nature of Roots of a Quadratic Equation

The discrimin...

Question

The discriminant of the quadratic equation $x^{2} + 5 x + 4 = 0$ is:

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Q. For what value of 𝒌, the quadratic equation

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

has equal roots?

Q. Solve the quadratic equation

5 x^{2} + 10 x - 2 = 0

by completing the square method.

Q. Find the roots of the quadratic equation

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using the quadratic formula.

Q. Find the zeroes of the quadratic polynomial

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and verify the relationship between its zeroes and coefficients.

Q. Find the area of ∆𝑨𝑩𝑪 using Heron’s formula. The vertices of the triangle are 𝑨(𝟏, 𝟎), 𝑩(𝟒, 𝟒), and 𝑪(𝟕, 𝟎).

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