2 solution
Step 1: Subtract 11 from both sides.
x²9x-11=11-11
x² - 9x - 11 = 0
For this equation: a=1, b=-9, c=-11
1x² + -9x + -11 = 0
Step 2: Use quadratic formula with a=1,
b=-9, c=-11.
X = - b ± √b² - 4ac
2a
X = -(-9) ± √(-9)² - 4(1)(-11)
2(1)
X =
9+√125/ 2
9/2 5/2 √5 or x = 9/2 -5/2 + -5/2 √5