Question

m2-5m=-3 solve the qudratic equation by completing square method

Answer 1

Hey!!!

We have,

=> m² - 5m = -3

=> m² - 5m + (5/2)² = -3 + 25/4

=> (m - 5/2)² = 13/4

=> m - 5/2 = +-√13/4

=> m - 5/2 = +-√13/2

Case 1

=> m = (√13+5)/2

Case 2

=> m = (5 - √13)/2

Hope this helps

Answer 2

The given equation $m^{2}$ - 5m = -3 can be solved by using the method of completing the square. In this method, we first rearrange the equation into a standard form by adding and subtracting (5/2)^2 to both sides. This transforms the equation into (m - 5/2)^2 = 13/4, which is a perfect square trinomial.

Next, we take the square root of both sides and solve for m. This results in two possible values for m, which are

m = (√13 + 5)/2 and m = (5 - √13)/2.

These values represent the solutions to the original equation, meaning that when plugged back into the equation, they make it true.

In conclusion, the method of completing the square is an effective technique for solving quadratic equations. By rearranging the equation into a standard form, factoring it into a perfect square trinomial, and taking the square root of both sides, we can find the solutions to the equation in a systematic and efficient manner.

For more such questions on completing square method: https://brainly.in/question/19535883

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