Question

Given: 2m 22=m21 Prove: m2=60​

Answer 1

To solve the equation 2m + 22 = m^2 for m, rearrange the equation, apply the quadratic formula, calculate the discriminant, and substitute the values of m into m^2 = 60.

Step-by-step explanation:

To prove the given statement, we need to solve the equation 2m + 22 = m^2 for m. Here's how to do it:

1. First, rearrange the equation to get m^2 - 2m - 22 = 0.
2. Apply the quadratic formula: m = (-b ± √(b^2 - 4ac)) / 2a, where a = 1, b = -2, and c = -22.
3. Calculate the discriminant (b^2 - 4ac) and determine whether it's positive or negative.
4. If the discriminant is positive, the equation has two distinct real solutions for m. If it's negative, the equation has no real solutions.
5. Finally, substitute the values of m into m^2 = 60 and check if it holds true for each solution.