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## Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.11

Question 1.

Solve the following quadratic equations by completing the square method

(i) 9x^{2} – 12x + 4 = 0

(ii) \(\frac{5 x+7}{x-1}\) = 3x + 2

Solution:

Question 2.

Solve the following quadratic equations by formula method

(i) 2x^{2} – 5x + 2 = 0

(ii) \(\sqrt{2} f^{2}\) – 6f + \(3 \sqrt{2}\)

(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

Question 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