Question 40

Question

Solve the equation. Simplify all irrational solutions.

x^2-6x-23=0

a. x = {4±3√2}
b. x = {3±4√2}
c. x = {±√32}
d. x = {-3±4√2}

Answer 1

To solve the equation x^2 - 6x - 23 = 0, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 1, b = -6, and c = -23. Plugging these values into the 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 solution to the equation x^2 - 6x - 23 = 0 is:

b. x = {3 ± 4√2}