Question
What should be the value of t in the equation x² + tx + 64
= 0 so that it has two equal real roots?Solution
ATQ,
Equal roots condition: Discriminant = 0
t² - 4×1×64 = 0
⇒ t² = 256
⇒ t = ±16
A, B, and C together can complete a task in 8 days. A alone can do it in 24 days, and B alone can do it in 18 days. How long will it take C alone to fin...
28 men can complete a work in 20 days. 40 women can complete the same work in 28 days. 20 men and 12 women started working and after 16 days, 20 more wo...
A and B can complete a work together in 36 days. If A alone can complete one-fourth of the work in ‘x’ days and remaining work is completed ...
A can do a job in 24 days, while B can do the same job in 30 days. They started the work together, but A left after 6 days. In how many more days will B...
P and Q can do a work in 10 days. Q and R can do it in 12 days. All three together can finish in 8 days. In how many days can P and R can complete the w...
If 15 men or 10 boys can finish a task in 18 days, how long will it take for a team of 12 men and 15 boys to complete the same task? (Calculate approxim...
‘A’ can do a piece of work in 8 days. ‘B’ can do 40% of the same work in 16 days. If they work together for the entire time and get paid Rs.1500...
A2 type ‘P’ pipes can fill a tank in 450 hours, while B2 type ‘Q’ pipes can fill the same tank in 6...
120 unit of work can be completed by P alone in 20 days. P started working alone and joined by Q after 10 days such that they completed the remaining wo...
(x + 7) workers finish 60% of a job in 9 days working 4 hours/day. The remaining work is done by (x + 3) workers in 12 days working 3 hours/day. Find x.
