Question

Find k, If the sum of root of
the quadratic equation 4x² +8kr + k + 9 =0 is equalto their product​

Answer 1

Step-by-step explanation:

4x2 + 8kx + k + 9 = 0

Comparing with ax2 + bx + c = 0 we have a = 4, b = 8k, c = k + 9

Let α and β be the roots of given quadratic equation.

α + β = α β ......(i) [Given]

(i.e.) –b/a = c/a

∴ - 8k/4 = (k+9)/4

∴ -8k = k+9

∴ -8k – k = 9

∴ - 9k = 9

∴ k = 9/-9

∴ k = -1