Q. 2 B3.7( 3 Votes )

# Find the root of the following quadratic equations, if they exist, by using the quadratic formula by Shridharacharya Method:9x2 + 7x – 2 = 0

When we compare the above quadratic equation with the generalized one we get,

ax2 + bx + c = 0

a = 9

b = 7

c = -2

There is one formula developed by Shridharacharya to determine the roots of a quadratic equation which is as follows: Before putting the values in the formula let us check the nature of roots by b2 – 4ac >0

(7)2 – (4 × 9 × -2)

49 – (-72)

49 + 72

121

Since b2 – 4ac = 121 the roots are real and distinct.

Now let us put the values in the above formula    Solving with positive value first, x = 4 / 18

x = 2/9

Solving with negative value second, x = -18 / 18

x = -1

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