Solve the equation. x^2 + 4x - 9 = 0 Enter solutions like \( \frac{1+\sqrt{3}}{2} \) using (1+sqrt(3))/2...
x^2 + 4x - 9 = 0
Enter solutions like \( \frac{1+\sqrt{3}}{2} \) using (1+sqrt(3))/2 and no spaces, or enter no real solutions.
To solve the quadratic equation x2 + 4x - 9 = 0, we can use the quadratic formula:
x = \( \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)
where a = 1, b = 4, and c = -9.
Calculate the discriminant:
b2 - 4ac = 42 - 4(1)(-9) = 16 + 36 = 52
Since the discriminant is positive, there are two real solutions:
Enter the solutions as -2+sqrt(13) and -2-sqrt(13).
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