Quadratic Equations (IMO Mathematics Olympiad (SOF) Class 10): Questions 69  73 of 80
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Question number: 69
» Quadratic Equations
Question
In the Maths Olympiad of 2030 at X Planet, two representatives from the Sejm’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 14 and 6.
 Another one committed an error in the coefficient of x and he got the roots as 3 and 6
But in the meantime, they realized that they are wrong and they managed to get it right jointly. Find the quadratic equation.
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Choice (4)  Response  

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Question number: 70
» Quadratic Equations
Question
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 5 and 6. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are
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Question number: 71
» Quadratic Equations
Question
If has equal roots, and then c is equal to________
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Question number: 72
» Quadratic Equations
Question
The roots of the equation can be found by solving ________
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Question number: 73
» Quadratic Equations
Question
The equation has ________
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Choice (4)  Response  

a.  No root 

b.  Infinitely many roots 

c.  One integral root 

d.  Two real roots 
