Use the quadratic formula to solve the equation.
-x^2+5x=11
a.5/2 +- sqrt13/2
b.-5/2 +- sqrt13/2
c.2/5 +- sqrt13/2
d.-2/5 +- sqrt13/2
first make the equation more presentable
....
x^2 - 5x + 11 = 0
x = (5 ± √-19)/2
none of the answers match this, so there has to be a typo.
since all answers contain √13
your equation could have been
x^2 - 5x + 3 = 0
that would give you x = (5 ± √13)/2, which matches a)
check your typing.
the equation i posted is the equation i have to use.
then, as I said before,
x = (5 ± √-19)/2
none of the choices match, that's all there is to say.
To solve the quadratic equation -x^2 + 5x = 11 using the quadratic formula, we'll need to first identify the coefficients of the equation. The standard form of a quadratic equation is ax^2 + bx + c = 0. In this case, a is -1, b is 5, and c is -11.
Now, we can apply the quadratic formula, which is:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values of a, b, and c into the formula, we get:
x = (-(5) ± √((5)^2 - 4(-1)(-11))) / (2(-1))
Simplifying further:
x = (-5 ± √(25 - 44)) / -2
x = (-5 ± √(-19)) / -2
Since √(-19) is not a real number, it means that the given equation does not have any real solutions. Therefore, none of the options provided in the answer choices are correct.