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) 9x2 – 12x + 4 = 0
(ii) 5x+7x−1 = 3x + 2
Solution:
2. Solve the following quadratic equations by formula method
(i) 2x2 – 5x + 2 = 0
(ii) 2–√f2 – 6f + 32–√
(iii) 3y2 – 20y – 3 = 0
(iv) 36y2 – 12 ay + (a2 – b2) = 0
Solution:
(i) 2x2 – 5x + 2 = 0
The formula for finding roots of a quadratic equation ax2 + bx + c = 0 is
3. A ball rolls down a slope and travels a distance d = t2 – 0.75t feet in t seconds. Find the time when the distance travelled by the ball is 11.25 feet.
Solution:
Distance d = t2 – 0.75 t,
Given that d = 11.25 = t2 – 0.75 t.
t2 – 0.75t – 11.25 = 0
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