Consider the quadratic equation 12px²-60x+25=0 where p≠0. Find the value of p or the range of values of p if the equation has?
a) two unequal real roots ;
b) two equal real roots ;
c) no real roots.
回答 (1)
Consider the quadratic equation 12px^2-60x+25=0 where p≠0. Find the value of p or the range of values of p if the equation has?編輯
a) two unequal real roots ;
Sol
b^2-4ac>0
(-60)^2-4*12p*25>0
3600-1200p>0
3600>1200p
3>p
b) two equal real roots ;
b^2-4ac=0
3600-1200p=0
p=3
c) no real roots.
b^2-4ac<0
3600-1200p<0
3<p
收錄日期: 2021-04-26 15:43:30
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