SOLUTION: given the quadratic equation kx^2 - 24x + (k-7) = 0 has real roots, show that a) k^2 - 7k - 144 <= 0 b) find the range of values of k satisfying this inequality

Question 841314: given the quadratic equation kx^2 - 24x + (k-7) = 0 has real roots, show that
a) k^2 - 7k - 144 <= 0
b) find the range of values of k satisfying this inequality
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The discriminant is greater than or equal to zero for real roots.
a)

b)
So the region break points are at and
Graph the function and check when it goes below the x-axis (<=0).

Values of k :

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