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Why does the discriminant b^2-4ac determine the number of roots of the quadratic equation ax^2+bx+c=0?

The rule for the discriminant: if b^2-4ac>0 then the quadratic has two roots if b^2-4ac=0 then the quadratic has one root if b^2-4ac<0 then the quadratic has no rootsRecall that the formula for solving...
DG
10025 Views

200 pupils are taking a school trip. Some are flying, some are taking the bus. There are three times as many boys going as girls. One third of the boys going are flying. How many boys are getting the bus?

x is number of boys. y is number of girlsx + y = 200x = 3y4y = 200y = 50x = 1502/3 * 150 = 100 boys getting the bus
JC
Answered by Jonty C. Maths tutor
2963 Views

How do I effectively annotate my texts for later study?

This seems like quite a simple question with an obvious solution, yet when I sat my GCSE's I remember struggling to determine what was important in a text to annotate or underline for future reference. Conse...
TR
4547 Views

What must we consider when examining sources for our project?

Author- Who authored the source? Are they close to the issue you're investigating (For example, if you're researching Star Wars, is your source the director? A key actor? A fan?). The author can have the lev...

Why was life so difficult for settlers in the American West? (Give 3 reasons)

Bandits: Being in a largely lawless region of the country, settlers had to fend for themselves most of the time. A mixture of Indian and American raiders meant that the settlers were never truly safe, and th...
QG
Answered by Quinn G. History tutor
3485 Views