Find k

**sologuitar** · December 11th 2009, 03:41 PM

Find a number k such that the given equation has exactly one solution.

kx^2 + 24x + 16 = 0

**TheEmptySet** · December 11th 2009, 03:57 PM

Originally Posted by sologuitar

Find a number k such that the given equation has exactly one solution.

kx^2 + 24x + 16 = 0

A quadratic equation will have exatly one solution when the discriminant is equal to zero.

The discriminant is $b^2-4ac$ when the quadratic is in standard form.

Just plug is $a=k,b=24,c=16$ and set equal to zero and solve.

**sologuitar** · December 12th 2009, 05:15 AM

Originally Posted by TheEmptySet

A quadratic equation will have exatly one solution when the discriminant is equal to zero.

The discriminant is $b^2-4ac$ when the quadratic is in standard form.

Just plug is $a=k,b=24,c=16$ and set equal to zero and solve.

That's very easy to do. Thanks.

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