Problem

Solve the equation using the quadratic formula.
x2+9x+5=0

Answer

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Answer

Final Answer: The solutions to the equation x2+9x+5=0 are 8.405124837953327 and 0.594875162046673.

Steps

Step 1 :Given the quadratic equation x2+9x+5=0, we are to find the solutions for x.

Step 2 :We use the quadratic formula which is given by x=b±b24ac2a, where a, b, and c are coefficients of the quadratic equation ax2+bx+c=0.

Step 3 :In this case, a=1, b=9, and c=5. We substitute these values into the quadratic formula to find the solutions for x.

Step 4 :Upon substitution, we find that the solutions to the equation are x=8.405124837953327 and x=0.594875162046673.

Step 5 :Final Answer: The solutions to the equation x2+9x+5=0 are 8.405124837953327 and 0.594875162046673.

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