Question

completing square method
m² - 5 m = - 3​

Answer 1

 

Hey!!!

Hey!!!We have,

Hey!!!We have,=> m² - 5m = -3

Hey!!!We have,=> m² - 5m = -3=> m² - 5m + (5/2)² = -3 + 25/4

Hey!!!We have,=> m² - 5m = -3=> m² - 5m + (5/2)² = -3 + 25/4=> (m - 5/2)² = 13/4

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

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

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 = +-√13/2Case 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 = +-√13/2Case 1=> m = (√13+5)/2

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 = +-√13/2Case 1=> m = (√13+5)/2Case 2

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 = +-√13/2Case 1=> m = (√13+5)/2Case 2=> m = (5 - √13)/2

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 = +-√13/2Case 1=> m = (√13+5)/2Case 2=> m = (5 - √13)/2Hope this helps

Answer 2

Answer:

5/2+√13/2

Step-by-step explanation:

m^2-5m-3=0

by formula of quadratic equation

m=5/2+√13/2