Question

if one root of quadratic equation 2 x square plus que x minus 6 is equal to zero is to also find other root​

Answer 1

Question:

If one root of the quadratic equation 2x^2 + kx - 6 = 0 is 2, find the value of k . Also, find the other root.

Answer:

Given: Since x = 2 is a root of the equation 2x^2 + kx - 6 = 0 2 × 2^2 + 2k - 6 = 0 8 + 2k - 6 = 0 2k + 2 = 0 k = - 1 Putting k = - 1 in the equation 2x^2 + kx - 6 = 0 ,Now to find other root of given equation 2x^2 - x - 6 = 0 2x^2 - 4x + 3x - 6 = 0 2x(x - 2) + 3(x - 2) = 0 (x - 2)(2x + 3) = 0 x - 2 = 0,2x + 3 = 0 x = 2,x = -32 Hence the other root is -32

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