solve by using the quadratic formula 7x^2+9x-4=0 the solution is x= (round to two decimal places as needed. Use a comma to separate answers as needed

Answer 1

To solve the quadratic equation 7x^2 + 9x - 4 = 0 using the quadratic formula, we first identify the coefficients a, b, and c:

a = 7, b = 9, c = -4

Then we plug these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

x = (-9 ± √(9^2 - 4*7*(-4))) / (2*7)

x = (-9 ± √(81 + 112)) / 14

x = (-9 ± √193) / 14

Thus, the solutions are x = (-9 + √193) / 14 and x = (-9 - √193) / 14

Rounded to two decimal places, the solutions are x = 0.22 and x = -1.08.