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If (5-under root 3)is one of the quadratic equation xsquare -10x+2k=0find the value of k.
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Answered by
8
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.
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