(2 Marks)Q 1. Prove that the roots of the quadratic equation3x +25x-5-

1.	(2 Marks)Q 1. Prove that the roots of the quadratic equation3x +25x-5-0 are real and unequal. Also, find theroots.(2017)
Answer» 3x^2 + 2sqrt(5)x - 5 = 03x^2 + 3sqrt(5)x - sqrt(5)x - 5 = 03x(x + sqrt(5)) - sqrt(5)(x + sqrt(5)) = 0(3x - sqrt(5))(x + sqrt(5)) = 0x = sqrt(5)/3, - sqrt(5) Roots are sqrt(5)/3 and - sqrt(5) which are unequal and real

(2 Marks)Q 1. Prove that the roots of the quadratic equation3x +25x-5-0 are real and unequal. Also, find theroots.(2017)

Answer»

3x^2 + 2sqrt(5)x - 5 = 03x^2 + 3sqrt(5)x - sqrt(5)x - 5 = 03x(x + sqrt(5)) - sqrt(5)(x + sqrt(5)) = 0(3x - sqrt(5))(x + sqrt(5)) = 0x = sqrt(5)/3, - sqrt(5)

Roots are sqrt(5)/3 and - sqrt(5) which are unequal and real

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(2 Marks)Q 1. Prove that the roots of the quadratic equation3x +25x-5-0 are real and unequal. Also, find theroots.(2017)

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