For what value of x would the expression5x - 18/x - 7A.-7B.0C. 1/7D.7

Answer:x = 7/10 + sqrt(409)/10 or x = 7/10 - sqrt(409)/10Step-by-step explanation by completing the square:Solve for x: 5 x - 7 - 18/x = 0 Bring 5 x - 7 - 18/x together using the common denominator x: (5 x^2 - 7 x - 18)/x = 0 Multiply both sides by x: 5 x^2 - 7 x - 18 = 0 Divide both sides by 5: x^2 - (7 x)/5 - 18/5 = 0 Add 18/5 to both sides: x^2 - (7 x)/5 = 18/5 Add 49/100 to both sides: x^2 - (7 x)/5 + 49/100 = 409/100 Write the left hand side as a square: (x - 7/10)^2 = 409/100 Take the square root of both sides: x - 7/10 = sqrt(409)/10 or x - 7/10 = -sqrt(409)/10 Add 7/10 to both sides: x = 7/10 + sqrt(409)/10 or x - 7/10 = -sqrt(409)/10 Add 7/10 to both sides: Answer: x = 7/10 + sqrt(409)/10 or x = 7/10 - sqrt(409)/10