6n 2 +7n−11=5n 2

Sure, let's solve the equation step by step:

Given equation is: 6n^2 + 7n - 11 = 5n^2

Step 1: Subtract 5n^2 from both sides to get the equation in standard form: 6n^2 - 5n^2 + 7n - 11 = 0 This simplifies to: n^2 + 7n - 11 = 0

Step 2: Now, we need to solve this quadratic equation. We can use the quadratic formula, which is: n = [-b ± sqrt(b^2 - 4ac)] / 2a Here, a = 1, b = 7, and c = -11

Step 3: Substitute a, b, and c into the quadratic formula: n = [-7 ± sqrt((7)^2 - 41(-11))] / 2*1 n = [-7 ± sqrt(49 + 44)] / 2 n = [-7 ± sqrt(93)] / 2

So, the solutions of the equation are: n = [-7 + sqrt(93)] / 2 and n = [-7 - sqrt(93)] / 2