Question

Find the roots. 2x^ 2 + 4x - 5 =0

Answer 1

Explanation:

`{2x}^(2) + 4x - 5 = 0 \\ {2x}^(2) + 4x = 5 \\ \frac{ {2x}^(2) }{2} + (4x)/(2) = (5)/(2) \\ {x}^(2) + 2x = (5)/(2) \\ {x}^(2) + 2x + ( {(2)/(2) })^(2) = (5)/(2) + ( {(2)/(2) })^(2) \\ {x}^(2) + 2x + 1 = (7)/(2) \\ {(x + 1)}^(2) = + | - (7)/(2) \\ x + 1 = + | - ( √(7) )/( √(2) )`

Answer 2

x = − 2 − √ 14 /2,-2 + √ 14 /2

Explanation: