The solutions for the given equation are x = -1 and x = 3/4. Using the quadratic formula, the solutions for the given equation are calculated.
The formula which is used to calculate the roots(solutions) of the quadratic equation in the form is
x = [- b ± ]/2a
The given equation is
In comparison with the standard form of quadratic equation ,
we get, a = 4, b = 1 and c = -3
So, solving the given equation using the quadratic formula,
x = [- b ± ]/2a
= [- 1 ± ]/2(4)
= [-1 ± ]/8
= (-1 ± 7)/8
Thus, x = (-1 + 7)/8 = 3/4 and x = (-1-7)/8 = -8/8 = -1
Therefore, the solutions of the given equation are x = -1 and x = 3/4.
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