Quadratic Equations (IMO Mathematics Olympiad Class 10): Questions 7  10 of 80
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Question number: 7
» Quadratic Equations
Question
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 2 and 8. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are
Choices
Choice (4)  Response  

a.  9, 1 

b. 


c. 


d. 


Question number: 8
» Quadratic Equations
Question
The roots of the equation can be found by solving ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 9
» Quadratic Equations
Question
A convex polygon has 170 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  20 

b.  40 

c.  50 

d.  30 

Question number: 10
» Quadratic Equations
Question
In the Maths Olympiad of 2016 at X Planet, two representatives from the Alex’s side, while solving a quadratic equation, committed the following mistakes:
 One of them made a mistake in the constant term and got the roots as 10 and 15.
 Another one committed an error in the coefficient of x and he got the roots as 9 and 8
But in the meantime, they realized that they are wrong and they managed to get it right jointly. Find the quadratic equation.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

