Question

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Answer 1

Step-by-step explanation:

x²+4x-5=0

x²+5x-x-5=0

x(x+5)-1(x+5)=0

(x+5)(x-1)=0

x=-5,1

2m²-5m=0

m(2m-5)=0

m=0,5/2

Answer 2

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Answer:

1]

a) x = 1

- - > x² + 4x - 5 = 0

- - > 1² + 4 * 1 - 5 = 0

- - > 1 + 4 - 5 = 0

- - > 5 - 5 = 0

- - > 0

b) x = - 1

- - > x² + 4x - 5 = 0

- - > (-1)² + 4 * (-1) - 5 = 0

- - > 1 - 4 - 5 = 0

- - > 1 - 9 = 0

- - > - 8

2]

a) m = 2

- - > 2m² - 5m = 0

- - > (2 * 2)² - 5 * 2 = 0

- - > (4)² - 10 = 0

- - > 16 - 10 = 0

- - > 6

b) m = 2/5

- - > 2m² - 5m = 0

- - > (2 * 2/5)² - 5 * 2/5 = 0

- - > (4/5)² - 2 = 0

[ 5 * 2/5 - - > 5 on both sides gets cancelled]

- - > 16/25 - 2 = 0

- - > 16 - 50/25 = 0

- - > 34/25