Solve the equation: 3y2 + 7y + 4 = 0, by using formula method.

i. Solve the equation: 3y² + 7y + 4 = 0, by using formula method.

Sol. The given quadratic equation is 3y² + 7y + 4 = 0.

Comparing with standard form of quadratic equation of ax² + bx + c = 0 ,

we get a = 3, b = 7 and c = 4

Now, b² – 4ac = 7² – 4(3)(4) = 49 – 48 = 1

By formula  method,
x	=	- b ± √ b2 -4ac
		2a
x	=	-7 ± √1
		2(3)
x	=	-7 ± 1
		6
x	=	-7 +1	or	-7 -1
		6		6
		-6	or	-8
		6		6
	=	-1	or	-4
				3
	Ans.	The value of x is -1 or -4/3