The solution of the quadratic equation is irrational because 11² - 4*3*9 is not a perfect square.
What is an irrational quadratic equation?
An irrational quadratic equation is an equation that contains two irrational solutions making the equation not to be able to be solved through factorisation.
Using the quadratic equation formula to solve, the irrational solutions are gotten below,
X = -b +√b²- 4ac/2a
where a = 3; b= 11 ; C = 9
X = -3+√11²-4*3*9/2*3
X= -3+√ 121-108/6
X= -3 +√13/6
X =-3/6 +√13/6
X= -1/2 + √13/6
Therefore,X = -1/2 +√13/6 or
X = -1/2 - √13/6
The solution are two irrational numbers that are not prefect squares.
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