Question

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If (5-under root 3)is one of the quadratic equation xsquare -10x+2k=0find the value of k.

Thenks​

Answer 1

Answer:

8

Step-by-step explanation:

one root of the equation is given => x = 5 - √3.

f(x) = x² - 10x + 2k

If we substitute the value of this root in the equation then its result should be zero.

=> f(5 - √3) = 0

=> (5 - √3)² - 10(5 - √3) + 2k = 0

=> 25+ 9  - 10√3 - 50+10√3+ 2k = 0

=> -16 + 2k = 0

=> 2k = 16

=> k = 8.