Question

m²+48m-49=0
i need step by step written​

Answer 1

$x ^{2} + 48x - 49 = 0 \\ {x}^{2} + 49x - x - 49 = 0 \\ x(x + 49) - 1(x + 49) = 0 \\ (x + 49)(x - 1)$

Answer 2

Solution:

Method 1.

The given equation is

m² + 48m - 49 = 0

or, m² + (49 - 1) m - 49 = 0

or, m² + 49m - m - 49 = 0

or, m (m + 49) - 1 (m + 49) = 0

or, (m + 49) (m - 1) = 0

Either m + 49 = 0 or, m - 1 = 0

This given m = - 49, 1

Therefore, the required solution is

m = - 49, 1

Method 2.

The given equation is

m² + 48m - 49 = 0

Using quadratic formula, we get

m = {- 48 ± √(48² + 196)} / 2

= {- 48 ± √2500} / 2

= (- 48 ± 50) / 2

= - 49, 1

Therefore, the required solution is

m = - 49, 1