Use the Quadratic Formula to solve the equation: 5x^2 + 9x - 2=0
-2,1/5?
see above.
Thank you!
To solve the equation 5x^2 + 9x - 2 = 0 using the Quadratic Formula, follow these steps:
Step 1: Identify the coefficients of the quadratic equation. In this case, the coefficients are:
a = 5
b = 9
c = -2
Step 2: Write down the Quadratic Formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Step 3: Substitute the values of a, b, and c into the Quadratic Formula:
x = (-(9) ± √((9)^2 - 4(5)(-2))) / (2(5))
Step 4: Simplify the equation:
x = (-9 ± √(81 + 40)) / 10
x = (-9 ± √121) / 10
x = (-9 ± 11) / 10
Step 5: Solve for both possible values of x:
x1 = (-9 + 11) / 10 = 2/10 = 1/5
x2 = (-9 - 11) / 10 = -20/10 = -2
Therefore, the solutions to the equation 5x^2 + 9x - 2 = 0 using the Quadratic Formula are x = -2 and x = 1/5.