The roots of y in the equation of y2-2y=-9/2 are

Question

Mathematics

Ashleigh Hunter

8 November, 23:27

The roots of y in the equation of y2-2y=-9/2 are

+1

Answers (1)

Know the Answer?

Mollie Brewer · Answer 1

Hello:

y²-2y=-9/2

(y²-2y + 1) - 1 = - 9/2

(y-1) ² = - 7/2

in : R no solutions

in : C two solutions

y-1 = - (√ 7/2) i or y-1 = (√ 7/2) i

y = 1 - (√7/2) i or y = 1 + (√ 7/2) i because : - 7/2 = (7/2) i² ... i² = - 1