which equation shows the quadratic formula used correctly to solve 5x^2+3x-4=0

Answer:x = sqrt(89)/10 - 3/10 or x = -3/10 - sqrt(89)/10Step-by-step explanation:Solve for x over the real numbers: 5 x^2 + 3 x - 4 = 0 Divide both sides by 5: x^2 + (3 x)/5 - 4/5 = 0 Add 4/5 to both sides: x^2 + (3 x)/5 = 4/5 Add 9/100 to both sides: x^2 + (3 x)/5 + 9/100 = 89/100 Write the left hand side as a square: (x + 3/10)^2 = 89/100 Take the square root of both sides: x + 3/10 = sqrt(89)/10 or x + 3/10 = -sqrt(89)/10 Subtract 3/10 from both sides: x = sqrt(89)/10 - 3/10 or x + 3/10 = -sqrt(89)/10 Subtract 3/10 from both sides: Answer: x = sqrt(89)/10 - 3/10 or x = -3/10 - sqrt(89)/10