# Solve the Equation by Using the Formula Method. 3y2 +7y + 4 = 0 - Algebra

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

#### Solution

The given quadratic equation is 3y2 + 7y + 4 = 0.
Comparing the given equation with ax2 + bx + c = 0 we get,
a = 3, b = 7 and c = 4

y=(-b+-sqrt(b^2-4ac))/(2a)

y=(-7+-sqrt(7^2-4ac))/(2(3))

y=(-7+-sqrt(49-48))/6

y=(-7+-sqrt(1))/6

y=(-7+-1)/(6)

y=(-7+1)/(6) or y=(-7-1)/(6)

y=-6/6=-1 or y=-8/6=-4/3

y=-1 or y=-4/3

Therefore -1 and -4/3 are the roots of given equation.

Concept: Nature of Roots
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