Solve the equation.

Question

m^2-5m-36=0

Answer 1

To solve the equation m^2-5m-36=0, we can use factoring or the quadratic formula.

First, we can try factoring the equation. We need to find two numbers that multiply to -36 and add up to -5. The numbers -9 and 4 would work since -9 * 4 = -36 and -9 + 4 = -5.

So we can rewrite the equation as (m - 9)(m + 4) = 0.

Now we can set each factor equal to zero and solve for m:

m - 9 = 0
m = 9

m + 4 = 0
m = -4

Therefore, the solutions to the equation m^2-5m-36=0 are m = 9 and m = -4.