Find the value of k if the quadratic equation x2 - kx + 20 = 20 has real roots
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Solution :
Compare x²-kx+20=0 with
ax²+bx+c = 0 we get,
a = 1 , b = -k, c = 20
Discreminant (D) > 0
[ Given , roots are real ]
b² - 4ac > 0
=> (-k)² - 4×1×20 > 0
=> k² - 80 > 0
=> k² > 80
=> k > ± √80
=> k > ± 4√5
••••
Compare x²-kx+20=0 with
ax²+bx+c = 0 we get,
a = 1 , b = -k, c = 20
Discreminant (D) > 0
[ Given , roots are real ]
b² - 4ac > 0
=> (-k)² - 4×1×20 > 0
=> k² - 80 > 0
=> k² > 80
=> k > ± √80
=> k > ± 4√5
••••
Arshad2003:
Thanks a lot
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0
Answer:
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