Solve for x:
50 x^2+23 x-25 = 0
Divide both sides by 50:
x^2+(23 x)/50-1/2 = 0
Add 1/2 to both sides:
x^2+(23 x)/50 = 1/2
Add 529/10000 to both sides:
x^2+(23 x)/50+529/10000 = 5529/10000
Write the left hand side as a square:
(x+23/100)^2 = 5529/10000
Take the square root of both sides:
x+23/100 = sqrt(5529)/100 or x+23/100 = -sqrt(5529)/100
Subtract 23/100 from both sides:
x = sqrt(5529)/100-23/100 or x+23/100 = -sqrt(5529)/100
Subtract 23/100 from both sides:
Answer: |
| x = sqrt(5529)/100-23/100 or x = -23/100-sqrt(5529)/100