x\2-10x+24=0

Assuming you meant x^2 - 10x + 24 = 0.

Solve by factoring:

• Find factors of 24 that sum to 10: 6 and 4.
• So (x - 6)(x - 4) = 0.
• Solutions: x = 6 or x = 4.

Or by using the quadratic formula:

• D = b^2 - 4ac = 100 - 96 = 4
• x = (10 ± √4)/2 = (10 ± 2)/2 → x = 6 or x = 4.

Final answer: x = 4 or x = 6.