To use the quadratic formula, we first need to write the equation in standard form:
2x^2 - 9x - 1 = 0
Now we can apply the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions for x can be found using:
x = (-b ± √(b^2 - 4ac))/(2a)
In this case, a = 2, b = -9, and c = -1. Substituting these values into the quadratic formula:
x = (-(-9) ± √((-9)^2 - 4(2)(-1)))/(2(2))
x = (9 ± √(81 + 8)) / 4
x = (9 ± √(89)) / 4
Therefore, the solutions to the equation are:
x = (9 + √89)/4
and
x = (9 - √89)/4
Solve the following equation using the quadratic formula.
2x2−1=9x
1 answer