## Quant Question Of The Day: 264

**For how many of the following values of k can F( x ) = ( k + 10) x ^{2} + ( k + 10) x – 9 = 0 have equal roots?**

**(i) −46 (ii) −25 (iii) −10 (iv) −3 (v) 10 **

**A. 1B. 2C. 3D. 0**

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**For how many of the following values of k can F( x ) = ( k + 10) x ^{2} + ( k + 10) x – 9 = 0 have equal roots?**

**(i) −46 (ii) −25 (iii) −10 (iv) −3 (v) 10 **

**A. 1B. 2C. 3D. 0**

**b ^{2}– 4ac must have equal to zero.i.e , (k + 10)^{2 }= 4(k + 10)(-9)k = -46 or -10Howver if k = -10, then f(x) = 0 becomes -9 = 0, which is not possible. Therefore, k can be only – 46.**

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2. -46 and -10

B

2

C -10

1 value of k = -46

2

B