find K if one of the root of the equation 5 x square + 6x + k= 20 is 5 times the other
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Answer:
The value of k = 9/2 = 4.5
Step-by-step explanation:
If the roots of a quadratic equation are real and equal then
Discriminant(b^2 - 4ac) of Quadratic equation is zero.
It is given a quadratic equation
2x2- 6x + k = 0,
the roots of are real and equal.
Therefore Discriminant of Quadratic equation is zero.
b^2 - 4ac =0
The coefficients of 2x2- 6x + k = 0,
a = 2
b = -6
c = k
To find the value of k
b^2 - 4ac =0
(-6)^2 - 4 x 2x k = 0
8k = 36
k = 36/8 = 9 /2 = 4.5
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