Question
\(4x^2 + 12x + 9 = 0\)
Solution
Quadratic Formula Method
1
\( \text{Compare } 4 x^{2} + 12 x + 9 = 0 \text{ with the standard quadratic equation } ax^2 +bx+c = 0 \text{ and find the values of a, b, and c } \)
\( a = 4 \text{ , } b = 12 \text{ , } c = 9 \)
2
Calculate the value of the discriminant (D)
\( D = 0 \)
3
Determine the nature of the roots
The roots are real and equal
4
\( \text{ Apply the quadratic formula and find the roots of } 4 x^{2} + 12 x + 9 = 0 \)
\( \text{The roots are } - \frac{3}{2} \text{ and } - \frac{3}{2} \)
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