SOLUTION: Find the values of k that will make the solutions of the given quadratic equation equal.
kx^2 - 10x + 5 = 0
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Expressions-with-variables
-> SOLUTION: Find the values of k that will make the solutions of the given quadratic equation equal.
kx^2 - 10x + 5 = 0
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You can put this solution on YOUR website! If the solutions of a quadratic equation are equal, then its discriminant should be equal to zero.
The given equation is kx^2 - 10x + 5 = 0
Hence, Discriminant D = [(-10)^2 - 4 x k x 5] = 0
=> (100 - 20k) = 0
=> 100 = 20k
=> k 100/20 = 5.
Hence, for k = 5, the solutions of the given quadratic equation are equal.
You can put this solution on YOUR website! kx^2-10x+5=0
in the general equation ax^2+bx +c
for the roots to be equal
b^2-4ac=0
b=-10, a=k,c=5
..
(-10)^2-4*k*5 =0
100-20k=0
add 20k to both sides
5=k
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