**10th Maths Book Back Question and Answers – Chapter 3 Exercise 3.11:**

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**Samacheer Kalvi 10th Maths Book Back Answers – Ex 3.11 Algebra**

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**Chapter 3**

**Exercise 3.11 Algebra**

1. Solve the following quadratic equations by completing the square method

(i) 9x^{2} – 12x + 4 = 0

(ii) 5x+7x−1 = 3x + 2

**Solution:**

2. Solve the following quadratic equations by formula method

(i) 2x^{2} – 5x + 2 = 0

(ii) 2–√f2 – 6f + 32–√

(iii) 3y^{2} – 20y – 3 = 0

(iv) 36y^{2} – 12 ay + (a^{2} – b^{2}) = 0

**Solution:**

(i) 2x^{2} – 5x + 2 = 0

The formula for finding roots of a quadratic equation ax^{2} + bx + c = 0 is

3. A ball rolls down a slope and travels a distance d = t^{2} – 0.75t feet in t seconds. Find the time when the distance travelled by the ball is 11.25 feet.

**Solution:
**Distance d = t

^{2}– 0.75 t,

Given that d = 11.25 = t

^{2}– 0.75 t.

t

^{2}– 0.75t – 11.25 = 0

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