Solve Using the Quadratic Formula 5x^2+9x=-4

Problem

5*x2+9*x=−4

Solution

1. Rewrite the equation in standard form a*x2+b*x+c=0 by adding 4 to both sides.

5*x2+9*x+4=0

2. Identify the coefficients a b and c for the quadratic formula.

a=5

b=9

c=4

3. Substitute these values into the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a)

x=(−9±√(,9−4*(5)*(4)))/(2*(5))

4. Simplify the expression inside the square root (the discriminant).

x=(−9±√(,81−80))/10

x=(−9±√(,1))/10

5. Evaluate the square root and solve for both possible values of x

x=(−9±1)/10

6. Calculate the first solution using the plus sign.

x=(−9+1)/10=(−8)/10=−0.8

7. Calculate the second solution using the minus sign.

x=(−9−1)/10=(−10)/10=−1

Final Answer

x=−0.8,−1

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