Question

Solving quadratic equations by formula method
1 x²-7x+12=0
2 3x²-5x+6=0
3 2x²+9x+7=0​

Answer 1

Answer:

GIVEN

We are given 3 quadratic equations

1. x^2 - 7x + 12
2. 3x^2 - 5x + 6
3. 2x^2 + 9x + 7

TO FIND

We need to find the roots of these equations by using the Sridacharya formula

FORMULA

The Sridacharya formula is

X = -b ± ✓D/2a

where D is the discriminant of the quadratic equation

D = b^2 - 4ac

SOLUTION

(1) x^2 - 7x +12

D = 49 - 48 = 1

Roots = 7 ± 1/2

Roots = 3 , 4

(2) 3x^2 - 5x + 6

D = 25 - 72 = -46

Roots = 5 ± 46i / 6

Roots = 5+46i/6 and 5-46i/6. [ where i = ✓-1 ]

(3) 2x^2 + 9x + 7

D = 81 - 28 = 53

Roots = -9 ± ✓53 / 4

Roots = (-9-✓53) /4 and (-9+✓53) /4