NCERT Solution
Class 10
Mathematics
Quadratic Equations
find the roots of the following quadratic equation...

Question:
Find the roots of the following quadratic equations, if they exist, by the method of
completing the square:
(i) 2x²– 7x + 3 = 0 (ii) 2x²+ x – 4 = 0 (iv) 2x² + x + 4 = 0

Answer:

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Popular questions of class 10 Mathematics

A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.

Is the following situation possible? If so, determine their present ages.
The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

(i) x² – 2x – 8 (ii) 4s² – 4s + 1 (iii) 6x² – 3 – 7x (iv) 4u² + 8u (v) t²– 15 (vi) 3x²– x – 4

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Refer to Example 13. (i) Complete the following table:

(ii) A student argues that ‘there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. Therefore, each of them has a probability

Do you agree with this argument? Justify your answer.

Find two numbers whose sum is 27 and product is 182.

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Recently Viewed Questions of Class 10 Mathematics

Is it possible to design a rectangular park of perimeter 80 m and area 400 m²? If so, find its length and breadth.

From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Determine the height of the tower.

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

Find two consecutive positive integers, sum of whose squares is 365.

Is the following situation possible? If so, determine their present ages.
The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

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(i) If two coins are tossed simultaneously there are three possible outcomes—two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 1/3.

(ii) If a die is thrown, there are two possible outcomes—an odd number or an even number. Therefore, the probability of getting an odd number is 1/2.

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Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

(i) x² – 2x – 8 (ii) 4s² – 4s + 1 (iii) 6x² – 3 – 7x (iv) 4u² + 8u (v) t²– 15 (vi) 3x²– x – 4

Question:
Find the roots of the following quadratic equations, if they exist, by the method of
completing the square:
(i) 2x²– 7x + 3 = 0 (ii) 2x²+ x – 4 = 0 (iv) 2x² + x + 4 = 0

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Question: Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2 – 7x + 3 = 0 (ii) 2x2 + x – 4 = 0 (iv) 2x2 + x + 4 = 0

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Popular questions of class 10 Mathematics

Recently Viewed Questions of Class 10 Mathematics

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Question:
Find the roots of the following quadratic equations, if they exist, by the method of
completing the square:
(i) 2x²– 7x + 3 = 0 (ii) 2x²+ x – 4 = 0 (iv) 2x² + x + 4 = 0