Question

solve the following quadratic equation by factisation 2m(m-24)=50​

Answer 1

Answer:

m = 1 or 25

Step-by-step explanation:

Open the brackets

2m^2 - 48m - 50 = 0

we will divide -48m into two parts such that it adds up to the same number and the product is the product of first and last term

that means -48m needs to be divided into two parts such that if we add them it would result in -48m and if we multiply it would be equal to (2m^2 x -50)

therefore , 2m^2 - 50m + 2m - 50 = 0

(2m^2 - 50m) + (2m - 50) = 0

2m(m - 25) -2(m - 50) = 0

(m - 25) (2m - 2) = 0

therefore

m - 25 = 0                                                         2m - 2 = 0

m = 25                                                               2m = 2

                                                                          m = 1

therefore m = 1,25

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