Question

find the roots of the following quadratic equation by factorisation root 2 X square + 7 x + 5 root 2 equal to zero

Answer 1

X2 – 3x – 10 = 0





So we can write middle term as -3x = -5x + 2x


x2 – 5x + 2x – 10 = 0


    x(x - 5) + 2(x - 5) = 0


    (x - 5)(x + 2) = 0


x - 5 = 0  and x + 2 = 0


x = 5 and x = -2

  5 and -2  are our required root of quadratic equation.


(ii) 2x2 + x – 6 = 0



    2x2 + 4x – 3x – 6 = 0


2x(x + 2) – 3(x + 2) = 0


(x + 2)(2x – 3) = 0


    x + 2 = 0   and  2x – 3 = 0


x = –2  and x = 3/2


–2 and 3/2  are our required root of quadratic equation.

Answer 2

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