Ravi forms the equation (k+4)x^2 + (k+1)x + 1 = 0 (k not equal to -4). For the roots to be real and equal, find the larger value of k.

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Accepted Answer

5. D = 0: (k+1)^2 - 4(k+4)(1) = 0, so k^2 + 2k + 1 - 4k - 16 = 0, i.e. k^2 - 2k - 15 = 0, (k-5)(k+3) = 0, giving k = 5 or k = -3. The larger value is 5.

Ravi forms the equation $(k + 4) x^{2} + (k + 1) x + 1 = 0 (k$ not equal to -4). For the roots to be real and equal, find the larger value of $k$ .

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More Class 10 Discriminant and Nature of Roots practice

Ravi forms the equation (k+4)x2+(k+1)x+1=0(k not equal to -4). For the roots to be real and equal, find the larger value of k.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Discriminant and Nature of Roots practice

Ravi forms the equation $(k + 4) x^{2} + (k + 1) x + 1 = 0 (k$ not equal to -4). For the roots to be real and equal, find the larger value of $k$ .