Solve the equation x^2-6x -23 =0 simplify all irrational solutions
A x={4±3√2}
B x={3±4√2}
C x={±√32}
D x={-3±4√2}
To solve the equation x^2 - 6x - 23 = 0, we can use the quadratic formula:
x = (-(-6) ± √((-6)^2 - 4(1)(-23))) / 2(1)
x = (6 ± √(36 + 92)) / 2
x = (6 ± √128) / 2
x = (6 ± 8√2) / 2
x = 3 ± 4√2
Therefore, the simplified irrational solutions are x = 3 ± 4√2.
The correct answer is:
B x = {3 ± 4√2}