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Answer:
Thus, The two roots of the given quadratic equation are : x = 0.5225 or x = -1.7225
Step-by-step explanation:
The quadratic equation is given to be :
10x² + 12x - 9 = 0
A = 10 , B = 12 , C = 9
Now, using the discriminant rule :
[tex]x=\frac{-B\pm\sqrt{B^2-4AC}}{2A}\\\\\implies x=\frac{-12\pm\sqrt{144+360}}{20}\\\\ \implies x =\frac{-12\pm 22.45}{20}[/tex]
So, x = 0.5225 or x = -1.7225
Thus, The two roots of the given quadratic equation are : x = 0.5225 or x = -1.7225