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Given 3 and m are the roots of the quadratic equation 2x2 + kx - 15 = 0. Find the values of k and m.

Diberi 3 dan m ialah punca bagi persamaan kuadratik 2x2 + kx - 15 = 0. Cari nilai k dan nilai m. [4 marks/4 markah] Answer/Jawapan:​

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Answer:

If the roots of any equation are equal then it means that their Discriminant = 0

So, b²-4ac = 0

We have given the equation 2x² + kx + 2, where,

a = 2

b = k (we have to find the value)

c = 2

Then, b²-4ac=0

b² - 4(2)(2) = 0

b² - 16 = 0

b² = 16

√16 = 4

Hence the vue of k is 4.

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