Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 7 - 10 of 80

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Question number: 7

» Quadratic Equations

MCQ▾

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 x2 correctly as 1 and 9 respectively. The correct roots are

Choices

Choice (4) Response

a.

9, 1

b.

9,1

c.

9,1

d.

9,1

Question number: 8

» Quadratic Equations

MCQ▾

Question

The roots of the equation 14x+21x4=1 can be found by solving ________

Choices

Choice (4) Response

a.

4x215x+50=0

b.

4x225x+50=0

c.

x215x+50=0

d.

x225x50=0

Question number: 9

» Quadratic Equations

MCQ▾

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

MCQ▾

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:

  1. One of them made a mistake in the constant term and got the roots as 10 and 15.
  2. 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.

x225x72=0

b.

x225x+72=0

c.

x2+25x+72=0

d.

x2+25x72=0

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