To solve the equation 9x^2 - 5x - 7 = 0 using the quadratic formula, we first identify the coefficients of the variables:
a = 9
b = -5
c = -7
Then, we substitute these values into the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
Plugging in the values, we get:
x = (-(-5) ± sqrt((-5)^2 - 4(9)(-7))) / (2(9))
Simplifying further:
x = (5 ± sqrt(25 + 252)) / 18
x = (5 ± sqrt(277)) / 18
Therefore, the real solutions to the equation 9x^2 - 5x - 7 = 0 are:
x = (5 + sqrt(277)) / 18
x = (5 - sqrt(277)) / 18
Solve the equation for real solutions by the quadratic formula.
9x2−5x−7=0
1 answer